Find out the wrong term from the given series | vedclass

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Question

(B) The given series is $1, 5, 9, 16, 25, 37, 49$.Let us analyze the differences between consecutive terms:$5 - 1 = 4$$9 - 5 = 4$$16 - 9 = 7$$25 - 16

Vedclass · Accepted Answer

$15$

Vedclass · Answer

(B) The given series is $1, 5, 9, 16, 25, 37, 49$.Let us analyze the differences between consecutive terms:$5 - 1 = 4$$9 - 5 = 4$$16 - 9 = 7$$25 - 16 = 9$$37 - 25 = 12$$49 - 37 = 12$This does not show a clear pattern. Let us look at the squares of odd numbers:$1^2 = 1$$3^2 = 9$$5^2 = 25$$7^2 = 49$These are the $1st, 3rd, 5th,$ and $7th$ terms.Now look at the even-positioned terms: $5, 16, 37$.$2^2 + 1 = 5$$4^2 + 1 = 17$$6^2 + 1 = 37$In the given series,the $4th$ term is $16$,but it should be $17$ to follow the pattern $(n^2 + 1)$ for even positions. Therefore,$16$ is the wrong term.

Find out the wrong term from the given series:
$1, 5, 9, 16, 25, 37, 49$

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Find out the wrong term from the given series:$1, 5, 9, 16, 25, 37, 49$