Which of the following numbers will replace the question mark (?) in the given series?
14, 23, 38, 59, ?, 119
- A92
- B97
- C82
- D86
Solution & Step-by-step Explanation
Let's find the differences between consecutive terms in the series:
23−14=9
38−23=15
59−38=21
Now observe the differences: 9, 15, 21. They increase by a constant difference of 6:
15−9=6
21−15=6
Following this pattern, the next difference should be:
21+6=27
Adding this difference to 59 gives:
59+27=86
Let's double-check with the next term in the series:
Next difference =27+6=33
86+33=119
This perfectly matches the final term. Thus, the missing number is 86.
23−14=9
38−23=15
59−38=21
Now observe the differences: 9, 15, 21. They increase by a constant difference of 6:
15−9=6
21−15=6
Following this pattern, the next difference should be:
21+6=27
Adding this difference to 59 gives:
59+27=86
Let's double-check with the next term in the series:
Next difference =27+6=33
86+33=119
This perfectly matches the final term. Thus, the missing number is 86.