In a finite G.P. the product of the terms equidistant from the beginning and the end is always same and equal to the product of first and last term.

Statement -1: If a_(1),a_(2),a_(3), . . . . .,a_(n), . . . is an A.P. such that a_(1)+a_(4)+a_(7)+ . . . .+a_(16)=147 , then a_(1)+a_(6)+a_(11)+a_(16)=98 Statement -2: In an A.P., the sum of the terms equidistant from the beginning and the end is always same and is equal to the sum of first and last term.

Show that in an A.P. the sum of the terms equidistant from the beginning and end is always same and equal to the sum of first and last terms.

Prove that the sum of nth term from the beginning and nth term from the end of an A.P. is· constant.

If the third term of G.P.is 4 , then find the product of first five terms.

The product of 5 terms of G.P. whose 3rd term is 2 is

If fifth term of a G.P. is 2, then the product of its first 9 terms is

In a G.P. the product of the first four terms is 4 and the second term is the reciprocal of the fourth term. The sum of infinite terms of the G.P is

If the 3^(rd) term of a G.P. is 4, find the product of its first five terms.

If the sixth term of a GP be 2, then the product of first eleven terms is

For the G.P. (1)/(27),(1)/(9),(1)/(3), . . . . . .. . . . .. ,81, find the product of fourth term from the beginning and the fourth term from the beginning and the fourth term from the end.