Logical Reasoning

Sequence & Series

Medium

The missing number in the sequence 2, 15, 41, 80, 132, ?, is:

212

165

197

144

✅ Correct Option: 3

Looking at the sequence: 2, 15, 41, 80, 132, ?

Find the differences between consecutive terms:

$15 - 2 = 13$

$41 - 15 = 26$

$80 - 41 = 39$

$132 - 80 = 52$

The first differences are: 13, 26, 39, 52

Find the differences between the first differences:

$26 - 13 = 13$

$39 - 26 = 13$

$52 - 39 = 13$

The second differences are constant at 13, indicating a quadratic pattern.

The next first difference continues the pattern:

$52 + 13 = 65$

Therefore, the next term in the sequence:

$132 + 65 = 197$

The missing number is 197.

2025: 21 May Shift 1

Find the next term in the following alphanumeric series:

C12W, D20O, G30I, L42E, ?

2026: 14 May Shift 2

In the following question, an alphanumeric series is given as

5FU, 9IS, 13LQ, ?, 21RM

Choose the missing term (?) out of the given alternatives.

2026: 29 May Shift 2

Which number will replace the question mark (?) in the following series?

1, 2, 6, 12, ? , 72, 216

2025: 22 May Shift 2

Select the term that will come next in the following series.

BE, DG, FK, HQ, ?

2023: 1 June Shift 1

Fill up the gap with proper group of alphabets.

I K M J L N K M O ?

2025: 30 May Shift 2

In the following question, a letter-number series is given with one term missing as shown by (?). Choose the missing term out of the given alternatives.

A95, F90, K85, ?, U75

The missing number in the sequence 2, 15, 41, 80, 132, ?, is:

Solution

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