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Choose the number which will come next in the following series. 3, 4, 13, 38, 87, 168, ?
Question

Choose the number which will come next in the following series.
3, 4, 13, 38, 87, 168, ?

A.

199

B.

289

C.

203

D.

259

Correct option is B

Given:
3, 4, 13, 38, 87, 168, ?
Logic: The difference between two number is square of odd number. (The pattern 12,32,52,72,921^2, 3^2, 5^2, 7^2, 9^2​ odd squares.)
3 + 1 = 4
4 + 9 = 13
13 + 25 = 38
38 + 49 = 87
87 + 81 = 168
168 + 121 = 289
So, 289 is next term.
Thus, the correct answer is (b).

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