Question

Complete the following sequenc 12,77, 252,? 1) 352 (2) 621 418 (4) 576

Answer 1

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Answer 2

The required "option (2) 621" is correct.

Step-by-step explanation:

The given sequence:

12,77, 252, ?

To find, the missing number of the given sequence = ?

12 = $4^{2}$ - 4 = 16 - 4 = 12

77 = $(4+5)^2$ - 4 = $9^{2}$ - 4 = 81 - 4 = 77

7 = $(9+7)^{2}$ - 4 = $16^{2}$ - 4 = 256 - 4 = 252

Similarly,

? = $(16+9)^{2}$ - 4 = $25^{2}$ - 4 = 625 - 4 = 621

∴ The missing number of the sequence  = 621

Thus, the required "option (2) 621" is correct.