Find the odd number from the given sequence: | vedclass

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Question

(B) The pattern followed in the sequence is: $n_{i+1} = n_i 	imes (i+1) + (i+1)^2$,where $i$ is the step number starting from $1$.Step $1$: $4 	imes

Vedclass · Accepted Answer

$42$

Vedclass · Answer

(B) The pattern followed in the sequence is: $n_{i+1} = n_i 	imes (i+1) + (i+1)^2$,where $i$ is the step number starting from $1$.Step $1$: $4 	imes 2 + 2^2 = 8 + 4 = 12$Step $2$: $12 	imes 3 + 3^2 = 36 + 9 = 45$Step $3$: $45 	imes 4 + 4^2 = 180 + 16 = 196$Step $4$: $196 	imes 5 + 5^2 = 980 + 25 = 1005$Step $5$: $1005 	imes 6 + 6^2 = 6030 + 36 = 6066$Step $6$: $6066 	imes 7 + 7^2 = 42462 + 49 = 42511$Comparing this with the given sequence,$42$ is incorrect and should be $45$.

Find the odd number from the given sequence: $4, 12, 42, 196, 1005, 6066, 42511$.

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