The sum of 15 terms of an arithmetic progression is $600$ , and the common difference is $5$ , then the first term is

3

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4

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5

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none of these

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Solution

The correct option is D $5$
$S n = \frac{n}{2} [2 a + (n - 1) d]$

$600 = \frac{15}{2} [2 a + (15 - 1) 5]$

$80 = [2 a + (14) 5]$

$80 = 2 a + 70$

$10 = 2 a$

$a = 5$

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The sum of 15 terms of an arithmetic progression is 600, and the common difference is 5, then the first term is

The correct option is D 5Sn=n2[2a+(n−1)d]600=152[2a+(15−1)5]80=[2a+(14)5]80=2a+7010=2aa=5

The sum of 15 terms of an arithmetic progression is $600$ , and the common difference is $5$ , then the first term is

The correct option is D $5$
$S n = \frac{n}{2} [2 a + (n - 1) d]$

$600 = \frac{15}{2} [2 a + (15 - 1) 5]$

$80 = [2 a + (14) 5]$

$80 = 2 a + 70$

$10 = 2 a$

$a = 5$