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Sum of N Terms of an AP

In an arithme...

Question

In an arithmetic series, $a_{1} = - 14$ and $a_{5} = 50$ . Find the sum of the first 5 terms.

A

60

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B

70

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C

80

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D

90

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Solution

The correct option is A $90$
First term = a = -14
last term, l = 50
$a_{n} = 50$
n = 5
$S_{n} = \frac{n}{2} [a + l]$
$S_{5} = \frac{5}{2} [- 14 + 50]$
$S_{5} = 2.5 [36]$
$S_{5} = 90$

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