1, 1, 4, 8, 9, 27, 16, ? | vedclass

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Question

(B) The given sequence is a combination of two alternating series.The first series consists of the squares of natural numbers: $1^2, 2^2, 3^2, 4^2, \d

Vedclass · Accepted Answer

$64$

Vedclass · Answer

(B) The given sequence is a combination of two alternating series.The first series consists of the squares of natural numbers: $1^2, 2^2, 3^2, 4^2, \dots$ which are $1, 4, 9, 16$.The second series consists of the cubes of natural numbers: $1^3, 2^3, 3^3, ?^3$ which are $1, 8, 27, ?$.The next term in the sequence corresponds to the fourth term of the second series,which is $4^3 = 64$.

$1, 1, 4, 8, 9, 27, 16, ?$

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