Find out the odd number from the given sequen | vedclass

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Question

(D) Calculate the differences between consecutive terms:$13 - 9 = 4$$21 - 13 = 8$$37 - 21 = 16$$69 - 37 = 32$The pattern of differences is $4, 8, 16,

Vedclass · Accepted Answer

$132$

Vedclass · Answer

(D) Calculate the differences between consecutive terms:$13 - 9 = 4$$21 - 13 = 8$$37 - 21 = 16$$69 - 37 = 32$The pattern of differences is $4, 8, 16, 32, ...$,which follows the rule $2^n$ or multiplying the previous difference by $2$.Following this pattern,the next difference should be $32 	imes 2 = 64$.Therefore,the next term should be $69 + 64 = 133$.However,the given term is $132$.Checking the next step: $261 - 133 = 128$,which is $64 	imes 2 = 128$.Thus,$132$ is the odd number in the sequence.

Find out the odd number from the given sequence: $9, 13, 21, 37, 69, 132, 261$.

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