Question

2,3,2,15----?---,245

Answer 1

The missing number = 44

Step-by-step explanation:

We have,
2, 3, 2, 15, ?, 245

To find, the missing number = ?
3 = 2 × 1 + = 2 + 1 = 3
2 = 3 × 2 – = 6 - 4 = 2
15 = 2 × 3 + =6 + 9 = 15

Similarly,
? = 15 × 4 – = 60 - 16 = 44
245 = 44 × 5 + = 220 + 25 = 245

Hence, the missing number = 44

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Answer 2

The missing number is 44.

Given:

2,3,2,15,?,245

To Find:

The missing number in the series.

Solution:

We are required to find the missing number in the series.

The given series is in the format as

• The first number is multiplied by 1 and added by 1 and the following answer is multiplied by 2 and subtracted by 2.

• So, The pattern in for odd numbers, it is added and for even numbers, it is subtracted.

⇒2

⇒(2×1)+1² = 2+1 = 3

⇒(3×2)-2² = 6-4 = 2

⇒(2×3)+3²  =6 + 9 = 15

⇒? = (15 × 4)-4² = 60-16 = 44

⇒(44×5)+5² = 220+25 = 245

Therefore, The missing number is 44.

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