If the sum of $n$ terms of AP. is $476, l = 20, a = 36$ , then $n$ is equal to :

14

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15

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16

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17

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Solution

The correct option is C $17$
Given, $S_{n} = 476, l = 20, a = 36, n = ?$
We know $S_{n} = \frac{n}{2} [a + l]$
$\Rightarrow 476 = \frac{n}{2} [36 + 20]$
$= \frac{56 n}{2}$
$= 28 n$
$\Rightarrow∴ n = \frac{476}{28} = 17$

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