Question

4, 18, 66, (?), 1026

(A) 276 (B) 258 (C) 282 (D) 288
..please give the ans with description​

Answer 1

Answer:

option B

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Answer 2

The required "option B) 258" is correct.

Explanation:

The given series:

6, 18, 66, (?), 1026

To find, the value of missing number (?) = ?

The pattern follow:

$2^{2} +2,4^{2} +2,8^{2} +2,16^{2} +2,32^{2} +2,....$

6 = $2^{2}$ + 2 = 4 + 2 = 6

18 = $4^{2}$ + 2 = 16 + 2 = 18

66 = $8^{2}$ + 2 = 64 + 2 = 66

? = $16^{2}$ + 2 = 256 + 2 = 258

1026 = $32^{2}$ + 2 = 1024 + 2 = 1026

∴ The value of missing number (?) = 258

Thus, the required "option B) 258" is correct.