If the sum of an infinite decreasing G.P. is 3 and the sum of the squares of its term is `9/2,` then write its first term and common difference.

Explanation

Let us take a `GP` whose first term is `a` and common ratio `r`.


`:. s_(oo)y=(a)/(1-r)`


`=> a/(1-r)=3`...(1)


and, sum of the terms of the `GP=a^2,(ar)^2,(ar^2)^2, . . . oo`


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