Find the odd number in the given sequence: 8, | vedclass

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Question

(B) The pattern followed in the sequence is: $a_{n+1} = a_n 	imes 2 + 2 	imes n$,where $n$ is the position index starting from $1$.For $n=1$: $8 	i

Vedclass · Accepted Answer

$178$

Vedclass · Answer

(B) The pattern followed in the sequence is: $a_{n+1} = a_n 	imes 2 + 2 	imes n$,where $n$ is the position index starting from $1$.For $n=1$: $8 	imes 2 + 2 	imes 1 = 16 + 2 = 18$.For $n=2$: $18 	imes 2 + 2 	imes 2 = 36 + 4 = 40$.For $n=3$: $40 	imes 2 + 2 	imes 3 = 80 + 6 = 86$.For $n=4$: $86 	imes 2 + 2 	imes 4 = 172 + 8 = 180$ (The given number is $178$,which is incorrect).For $n=5$: $180 	imes 2 + 2 	imes 5 = 360 + 10 = 370$.For $n=6$: $370 	imes 2 + 2 	imes 6 = 740 + 12 = 752$.Therefore,$178$ is the odd number in the sequence.

Find the odd number in the given sequence: $8, 18, 40, 86, 178, 370, 752$.

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