4, 196, 16, 169, ?, 144, 64 | vedclass

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Question

(C) The series is a combination of two alternating sequences.Sequence $1$ (at odd positions): $4, 16, ?, 64$These are squares of even numbers: $2^2 =

Vedclass · Accepted Answer

$36$

Vedclass · Answer

(C) The series is a combination of two alternating sequences.Sequence $1$ (at odd positions): $4, 16, ?, 64$These are squares of even numbers: $2^2 = 4, 4^2 = 16, 6^2 = 36, 8^2 = 64$.Sequence $2$ (at even positions): $196, 169, 144$These are squares of decreasing integers: $14^2 = 196, 13^2 = 169, 12^2 = 144$.Comparing the two sequences,the missing term belongs to the first sequence,which is $6^2 = 36$.

$616$	$496$	$397$	$317$	$254$
$838$	$(A)$	$(B)$	$(C)$	$(D)$	$(E)$

$4, 196, 16, 169, ?, 144, 64$

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