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Question

Question: The mean of the series \(a , a + n d , a + 2 n d\) is....

The mean of the series a,a+nd,a+2nda , a + n d , a + 2 n d is.

A

a+(n1)da + ( n - 1 ) d

B

a+nda + n d

C

a+(n+1)da + ( n + 1 ) d

D

None of these

Answer

a+nda + n d

Explanation

Solution

Mean =a+(a+nd)+(a+2nd)3= \frac { a + ( a + n d ) + ( a + 2 n d ) } { 3 }

=3a+3nd3=a+nd= \frac { 3 a + 3 n d } { 3 } = a + n d .