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The mean of the series $a, a + d, a + 2 d, \dots, a + 2 n d,$ is

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a+(n−1)d

a+nd

a+(n+1)d

none of these

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detailed solution

Correct option is B

We haveRequired mean =a+(a+d)+(a+2d)+…+(a+2nd)2n+1=2n+12{2a+(2n+1−1)d}2n+1=a+nd

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Variate x	1	2	3	4	5
Frequency f of x	4	5	y	1	2

The mean of the series a,a+d,a+2d,…,a+2nd, is

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The mean of the series $a, a + d, a + 2 d, \dots, a + 2 n d,$ is