Question

All the terms in A.P., whose first term is a and common difference d are squared. A different series is thus formed. This series is a A) H.P. B) G.P. A.P. D) None of these​

Answer 1

Answer:

GP

Step-by-step explanation:

a, ad^2, ad^4, . . . . . , ad^(n+1)

Answer 2

Given,

Series is A.P.

First term $\[ = a\]$

Common difference $\[ = d\]$

Solution,

Common difference of A.P. is squared.

New series,

$\[ = a,a + {d^2},a + 2{d^2},a + 3{d^2} - - - \]$

New common difference $\[ = {d^2}\]$

This new series is also A.P.

Hence the series is a A.P.

The correct option is (c), i.e. A.P.