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Sum of N Terms of an AP

In an arithme...

Question

In an arithmetic series, $a_{1} = - 14$ and $a_{5} = 30$ . Find the sum of the first 5 terms.

A

10

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B

20

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C

30

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D

40

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Solution

The correct option is C 40
$S_{n} = \frac{n}{2} [a_{1} + a_{n}]$
$\Rightarrow S_{n} = \frac{5}{2} [- 14 + 30]$
$\Rightarrow S_{n} = 2.5 [16]$
$\Rightarrow S_{n} = 40$

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