3, 5, 13, 49, 241, ? | vedclass

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Question

(D) The given series is $3, 5, 13, 49, 241, ?$.Observe the pattern between consecutive terms:$3 	imes 2 - 1 = 5$$5 	imes 3 - 2 = 13$$13 	imes 4 - 3

Vedclass · Accepted Answer

$1441$

Vedclass · Answer

(D) The given series is $3, 5, 13, 49, 241, ?$.Observe the pattern between consecutive terms:$3 	imes 2 - 1 = 5$$5 	imes 3 - 2 = 13$$13 	imes 4 - 3 = 49$$49 	imes 5 - 4 = 241$The pattern follows the rule: $(	ext{Previous term} 	imes n) - (n - 1)$,where $n$ starts from $2$ and increases by $1$ for each step.Following this pattern for the next term:$241 	imes 6 - 5 = 1446 - 5 = 1441$.Therefore,the missing number is $1441$.

$3, 5, 13, 49, 241, ?$

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