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What will be the next term in the given series25,49,81,121,169,… 25, 49, 81, 121, 169, \ldots 25,49,81,121,169,…​
Question

What will be the next term in the given series

25,49,81,121,169, 25, 49, 81, 121, 169, \ldots

A.

361

B.

225

C.

269

D.

389

Correct option is B

Given Sequence:

25, 49, 81, 121, 169, \ldots

Analysis:

1. These are all perfect squares of consecutive odd numbers:
- 25 = 52^2
- 49 = 72^2
- 81 = 92^2
- 121 = 112^2
- 169 = 132^2

2. The next number in the sequence will be the square of the next odd number:
- Next odd number: 15
- Square: 152^2​ = 225

Final Answer:

The next number in the sequence is 225

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