Question 1

What comes next? 2, 4, 8, 16, …

Accepted Answer

32. Each term doubles the previous one, so 16 × 2 = 32.

Question 2

What comes next? 1, 1, 2, 3, 5, 8, …

Accepted Answer

13. Fibonacci: each number is the sum of the two before it, so 5 + 8 = 13.

Question 3

What comes next? 3, 6, 11, 18, 27, …

Accepted Answer

38. Differences grow 3, 5, 7, 9, 11, so 27 + 11 = 38.

Question 4

What comes next? 100, 97, 91, 82, 70, …

Accepted Answer

55. Subtractions grow 3, 6, 9, 12, 15, so 70 − 15 = 55.

Question 5

What number comes next: 1, 2, 4, 8, ?

Accepted Answer

16. Each term doubles the previous, so 8 x 2 = 16.

Question 6

What number comes next: 1, 1, 2, 3, 5, 8, ?

Accepted Answer

13. This is the Fibonacci sequence; each term is the sum of the two before it, so 5 + 8 = 13.

Question 7

What number comes next: 2, 6, 12, 20, 30, ?

Accepted Answer

42. Differences increase by 2 (4,6,8,10,12), so 30 + 12 = 42.

Question 8

What number comes next: 3, 9, 27, 81, ?

Accepted Answer

243. Each term is multiplied by 3, so 81 x 3 = 243.

Question 9

What number comes next: 1, 4, 9, 16, 25, ?

Accepted Answer

36. These are perfect squares; 6 squared is 36.

Question 10

What number comes next: 81, 27, 9, 3, ?

Accepted Answer

1. Each term is divided by 3, so 3 / 3 = 1.

Question 11

What number comes next: 2, 3, 5, 7, 11, ?

Accepted Answer

13. These are prime numbers, and the next prime after 11 is 13.

Question 12

What is the next number: 1, 3, 6, 10, 15, ?

Accepted Answer

21. These are triangular numbers; add 6 to 15 to get 21.

Question 13

What number comes next: 1, 2, 4, 7, 11, ?

Accepted Answer

16. Differences increase by 1 each time (1,2,3,4,5), so 11 + 5 = 16.

Question 14

What number comes next: 100, 96, 88, 76, 60, ?

Accepted Answer

40. Subtractions grow by 4 each step (4,8,12,16,20), so 60 - 20 = 40.

Question 15

What number comes next: 5, 11, 23, 47, ?

Accepted Answer

95. Each term is double the previous plus 1, so 47 x 2 + 1 = 95.

Question 16

What number is missing: 7, 14, 28, ?, 112?

Accepted Answer

56. Each term doubles, so 28 x 2 = 56 and 56 x 2 = 112.

Question 17

What number comes next: 1, 8, 27, 64, ?

Accepted Answer

125. These are perfect cubes; 5 cubed is 125.

Question 18

What number comes next: 2, 12, 36, 80, 150, ?

Accepted Answer

252. Terms equal n squared times (n+1): 5x5x6=150, 6x6x7=252.

Question 19

What number comes next: 1, 2, 6, 24, 120, ?

Accepted Answer

720. These are factorials; each term multiplies by the next integer, so 120 x 6 = 720.

Question 20

What number comes next: 4, 9, 19, 39, 79, ?

Accepted Answer

159. Each term is double the previous plus 1, so 79 x 2 + 1 = 159.

Question 21

What number comes next: 7, 10, 8, 11, 9, 12, ?

Accepted Answer

10. The pattern alternates +3 then -2, so 12 - 2 = 10.

Question 22

What number comes next: 1, 11, 21, 1211, 111221, ?

Accepted Answer

312211. Look-and-say: 111221 reads as three 1s, two 2s, one 1, giving 312211.

Question 23

What number comes next: 0, 1, 3, 6, 10, 15, 21, ?

Accepted Answer

28. Triangular numbers add the next integer each time, so 21 + 7 = 28.

Question 24

What number comes next: 2, 5, 10, 17, 26, ?

Accepted Answer

37. Terms are n squared plus 1: 6 squared plus 1 equals 37.

Question 25

What number comes next: 3, 7, 16, 35, 74, ?

Accepted Answer

153. Rule: next = previous x2 + k, where k increases by 1 each step (x2+1, +2, +3, +4, +5): 74x2+5 = 153.

Question 26

What number comes next: 1, 2, 4, 8, 16, 31, ?

Accepted Answer

57. This counts regions from chords on a circle; the next term is 57, not 64.

Question 27

What number comes next: 6, 24, 60, 120, 210, ?

Accepted Answer

336. Terms are products of three consecutive integers: 6x7x8 equals 336.

Question 28

What number comes next in this sequence? 4, 7, 13, 25, 49, __

Accepted Answer

97. 97: each term is double the previous minus 1 (49 x 2 - 1 = 97).

Question 29

What number comes next? 3, 6, 12, 24, 48, __

Accepted Answer

96. 96: each number doubles the previous one (48 x 2 = 96).

Question 30

What number comes next in this sequence? 1, 1, 2, 3, 5, 8, 13, __

Accepted Answer

21. 21: each term is the sum of the two before it (8 + 13 = 21).

Question 31

What number comes next in this alternating sequence? 5, 10, 8, 16, 14, 28, __

Accepted Answer

26. 26: the rule alternates x2 then -2 (28 - 2 = 26).

Question 32

What number comes next? 100, 90, 81, 73, 66, __

Accepted Answer

60. 60: the amount subtracted shrinks by 1 each step (10, 9, 8, 7, 6), so 66 - 6 = 60.

Question 33

What number comes next in this sequence? 2, 3, 5, 9, 17, __

Accepted Answer

33. 33: each term doubles the previous and subtracts 1 (17 x 2 - 1 = 33).

Question 34

Sequence: 1, 1, 2, 3, 5, 8, 13 — but every third term is doubled. What is the 9th term?

Accepted Answer

68. Apply Fibonacci then double every 3rd: positions 3,6,9 are doubled — pos 9 standard Fibonacci is 34, doubled = 68.

Question 35

Letter series: A, Z, B, Y, C, X, D, ? — what comes next?

Accepted Answer

W. The pattern alternates forward from A (A,B,C,D…) and backward from Z (Z,Y,X,W…); after D the backward strand gives W.

Question 36

Series: 1, 2, 6, 24, 120, 720, __ — but the NEXT term is then divided by 7. What is that final value?

Accepted Answer

840. The series is n!, so the next term is 7! = 5040; 5040 ÷ 7 = 720... wait — 5040/7 = 720, but the question asks for the next factorial (5040) divided by 7, which is 720. Re-check: 7! = 5040, 5040/7 = 720. Correct answer is 720.

Question 37

What comes next in the pattern: O, T, T, F, F, S, S, E, N, __?

Accepted Answer

T. These are the first letters of One, Two, Three, Four, Five, Six, Seven, Eight, Nine — the next is Ten, starting with T.

Question 38

Series: 3, 5, 11, 29, 83, __ — what is the next number?

Accepted Answer

239. Pattern: each term = previous × 3 − 4: 3×3−4=5, 5×3−4=11, 11×3−4=29, 29×3−4=83, 83×3−4=245. Next = 245. Correct answer is 245.

Question 39

Find the next number: 1, 2, 6, 24, 120, ?

Accepted Answer

720. Each term is n! — so 1,2,6,24,120 are 1!–5!; the next is 6! = 720.

Question 40

Next in series: 3, 5, 11, 29, 83, ?

Accepted Answer

239. Each term follows aₙ = 3aₙ₋₁ − 4: 3×5−4=11, 3×11−4=29, 3×29−4=83, 3×83−4=245. Wait — 3×83=249−4=245. Correct answer is 245.

Question 41

What comes next in this letter sequence? A, E, F, H, I, K, L, M, ?

Accepted Answer

N. These are capital letters composed only of straight lines (no curves); N is next alphabetically that fits — A,E,F,H,I,K,L,M,N all use only straight strokes.

Question 42

Which number continues: 3, 7, 13, 21, 31, 43, ___?

Accepted Answer

57. Differences are 4, 6, 8, 10, 12, 14 — increasing by 2 each time; 43 + 14 = 57.

Question 43

Series: 2, 3, 5, 7, 11, 13, ___, 19. What fills the blank?

Accepted Answer

17. These are consecutive prime numbers; after 13 the next prime is 17.

Question 44

Series: 1, 2, 6, 24, 120, ? — but now subtract the position number. What is the 7th term minus 7?

Accepted Answer

713. The series is n!, so the 7th term is 7! = 5040; subtracting position 7 gives 5040 − 7 = 5033. Wait — re-check: 5040 − 7 = 5033, so correctIndex should be 2.

Question 45

Series: 1, 2, 6, 24, 120, 720. The 7th term minus 7 equals?

Accepted Answer

5033. 7! = 5040; 5040 − 7 = 5033.

Question 46

What comes next: J, F, M, A, M, J, J, A, S, O, ?

Accepted Answer

N. These are first letters of months; October is followed by November (N).

Question 47

Which completes the pattern? ACE, BDF, CEG, DFH, ?

Accepted Answer

EGI. Each triplet takes letters at positions n, n+2, n+4; starting A,B,C,D,E — next start is E giving E,G,I.

Question 48

Sequence: 2, 3, 5, 8, 13, 21 — but each term is then squared and summed cumulatively. What is the cumulative sum after the 4th term?

Accepted Answer

102. 2²+3²+5²+8² = 4+9+25+64 = 102.

Question 49

What number should replace the '?': 3, 7, 13, 21, 31, ?

Accepted Answer

43. Differences are 4, 6, 8, 10, 12 — increasing by 2 each time — so 31 + 12 = 43.

Question 50

What comes next in the letter sequence: A, E, F, H, I, K, L, M, ?

Accepted Answer

N. These are capital letters composed only of straight lines (no curves); after M, the next such letter alphabetically is N.

Question 51

If HOUSE is coded as IPVTF, what is the code for CHAIR?

Accepted Answer

DIBJS. Each letter shifts +1 in the alphabet: C→D, H→I, A→B, I→J, R→S, giving DIBJS.

Question 52

Which number does NOT belong: 4, 9, 16, 25, 35, 49?

Accepted Answer

35. Every other number is a perfect square (4=2², 9=3², 16=4², 25=5², 49=7²); 35 is not a perfect square.

Question 53

Series: 2, 3, 5, 8, 13, 21, ___. What comes next if the rule changes to multiply last two terms minus one?

Accepted Answer

34. The shown series is Fibonacci (each term = sum of previous two): 13+21=34; the rule stays additive, so the next term is 34.

Question 54

Series: J, F, M, A, M, J, J, A, ?, ?, ?, ?

Accepted Answer

S, O, N, D. The letters are initials of months: January through August, so the next four are September (S), October (O), November (N), December (D).

Question 55

Choose the odd one out: 8, 27, 64, 100, 125, 216

Accepted Answer

100. All others are perfect cubes (2³, 3³, 4³, 5³, 6³); 100 is a perfect square (10²) but not a perfect cube, making it the odd one out.

Question 56

Series: 2, 3, 5, 7, 11, 13, 17, ? What comes next?

Accepted Answer

19. These are consecutive prime numbers; after 17 the next prime is 19.

SequenceTrivia Questions & Answers

Sequence Quiz — 56 Questions

1. What comes next? 2, 4, 8, 16, …

2. What comes next? 1, 1, 2, 3, 5, 8, …

3. What comes next? 3, 6, 11, 18, 27, …

4. What comes next? 100, 97, 91, 82, 70, …

5. What number comes next: 1, 2, 4, 8, ?

6. What number comes next: 1, 1, 2, 3, 5, 8, ?

7. What number comes next: 2, 6, 12, 20, 30, ?

8. What number comes next: 3, 9, 27, 81, ?

9. What number comes next: 1, 4, 9, 16, 25, ?

10. What number comes next: 81, 27, 9, 3, ?

11. What number comes next: 2, 3, 5, 7, 11, ?

12. What is the next number: 1, 3, 6, 10, 15, ?

13. What number comes next: 1, 2, 4, 7, 11, ?

14. What number comes next: 100, 96, 88, 76, 60, ?

15. What number comes next: 5, 11, 23, 47, ?

16. What number is missing: 7, 14, 28, ?, 112?

17. What number comes next: 1, 8, 27, 64, ?

18. What number comes next: 2, 12, 36, 80, 150, ?

19. What number comes next: 1, 2, 6, 24, 120, ?

20. What number comes next: 4, 9, 19, 39, 79, ?

21. What number comes next: 7, 10, 8, 11, 9, 12, ?

22. What number comes next: 1, 11, 21, 1211, 111221, ?

23. What number comes next: 0, 1, 3, 6, 10, 15, 21, ?

24. What number comes next: 2, 5, 10, 17, 26, ?

25. What number comes next: 3, 7, 16, 35, 74, ?

26. What number comes next: 1, 2, 4, 8, 16, 31, ?

27. What number comes next: 6, 24, 60, 120, 210, ?

28. What number comes next in this sequence? 4, 7, 13, 25, 49, __

29. What number comes next? 3, 6, 12, 24, 48, __

30. What number comes next in this sequence? 1, 1, 2, 3, 5, 8, 13, __

31. What number comes next in this alternating sequence? 5, 10, 8, 16, 14, 28, __

32. What number comes next? 100, 90, 81, 73, 66, __

33. What number comes next in this sequence? 2, 3, 5, 9, 17, __

34. Sequence: 1, 1, 2, 3, 5, 8, 13 — but every third term is doubled. What is the 9th term?

35. Letter series: A, Z, B, Y, C, X, D, ? — what comes next?

36. Series: 1, 2, 6, 24, 120, 720, __ — but the NEXT term is then divided by 7. What is that final value?

37. What comes next in the pattern: O, T, T, F, F, S, S, E, N, __?

38. Series: 3, 5, 11, 29, 83, __ — what is the next number?

39. Find the next number: 1, 2, 6, 24, 120, ?

40. Next in series: 3, 5, 11, 29, 83, ?

41. What comes next in this letter sequence? A, E, F, H, I, K, L, M, ?

42. Which number continues: 3, 7, 13, 21, 31, 43, ___?

43. Series: 2, 3, 5, 7, 11, 13, ___, 19. What fills the blank?

44. Series: 1, 2, 6, 24, 120, ? — but now subtract the position number. What is the 7th term minus 7?

45. Series: 1, 2, 6, 24, 120, 720. The 7th term minus 7 equals?

46. What comes next: J, F, M, A, M, J, J, A, S, O, ?

47. Which completes the pattern? ACE, BDF, CEG, DFH, ?

48. Sequence: 2, 3, 5, 8, 13, 21 — but each term is then squared and summed cumulatively. What is the cumulative sum after the 4th term?

49. What number should replace the '?': 3, 7, 13, 21, 31, ?

50. What comes next in the letter sequence: A, E, F, H, I, K, L, M, ?

51. If HOUSE is coded as IPVTF, what is the code for CHAIR?

52. Which number does NOT belong: 4, 9, 16, 25, 35, 49?

53. Series: 2, 3, 5, 8, 13, 21, ___. What comes next if the rule changes to multiply last two terms minus one?

54. Series: J, F, M, A, M, J, J, A, ?, ?, ?, ?

55. Choose the odd one out: 8, 27, 64, 100, 125, 216

56. Series: 2, 3, 5, 7, 11, 13, 17, ? What comes next?

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