Find the missing number in the series: 2, 6, | vedclass

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Question

(C) The given series is $2, 6, 14, 30, ?, 126, 254$.Observe the differences between consecutive terms:$6 - 2 = 4$$14 - 6 = 8$$30 - 14 = 16$The differe

Vedclass · Accepted Answer

$62$

Vedclass · Answer

(C) The given series is $2, 6, 14, 30, ?, 126, 254$.Observe the differences between consecutive terms:$6 - 2 = 4$$14 - 6 = 8$$30 - 14 = 16$The differences are in the form of powers of $2$,i.e.,$2^2, 2^3, 2^4, \dots$Following this pattern,the next difference should be $2^5 = 32$.So,the missing number is $30 + 32 = 62$.To verify,the next difference should be $2^6 = 64$,and $62 + 64 = 126$,which matches the series.Thus,the missing number is $62$.

$434$	$353$	$417$	$368$	$404$	$379$
$108$	$(A)$	$(B)$	$(C)$	$(D)$	$(E)$

Find the missing number in the series: $2, 6, 14, 30, ?, 126, 254$.

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