Find out the odd number from the given sequen | vedclass

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Question

(B) Let us analyze the pattern of the sequence: $8, 14, 26, 48, 98, 194, 386$.$14 = (8 	imes 2) - 2 = 16 - 2 = 14$.$26 = (14 	imes 2) - 2 = 28 - 2 =

Vedclass · Accepted Answer

$50$

Vedclass · Answer

(B) Let us analyze the pattern of the sequence: $8, 14, 26, 48, 98, 194, 386$.$14 = (8 	imes 2) - 2 = 16 - 2 = 14$.$26 = (14 	imes 2) - 2 = 28 - 2 = 26$.$50 = (26 	imes 2) - 2 = 52 - 2 = 50$.$98 = (50 	imes 2) - 2 = 100 - 2 = 98$.$194 = (98 	imes 2) - 2 = 196 - 2 = 194$.$386 = (194 	imes 2) - 2 = 388 - 2 = 386$.In the given sequence,$48$ does not follow the pattern $(x_{n} = 2x_{n-1} - 2)$. If we replace $48$ with $50$,the sequence becomes consistent. Thus,$48$ is the odd number in the sequence. Since the question asks to identify the odd number and provides $50$ as an option to replace it,option $(b)$ is the correct choice.

Find out the odd number from the given sequence: $8, 14, 26, 48, 98, 194, 386$.

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