In a sequence if $T_{n} = 4 n^{2} - 1$ and $T_{n} = 35$ , then the value of $n$ is

9

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5

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6

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3

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Solution

The correct option is B $3$
Given : $T_{n} = 4 n^{2} - 1$ and $T_{n} = 35$
$∴$ $4 n^{2} - 1 = 35$
$⟹$ $4 n^{2} = 36$
$⟹$ $n^{2} = 9$
$∴$ $n = 3$ .

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