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

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)=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.

In the expansion of (1+x)^(n) the coefficients of terms equidistant from the beginning and the end are equal.

Prove that in any arithmetic progression , whose common difference is not equal to zero, the product of two terms equidistant from the extreme terms is the greater as it will move to the middle term .

If the 5th term of a GP is 2, find the product of its first nine terms.

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

The third term of a G.P is 4 the product of first five term is:

In a A.P & an H.P have the same first term, the same last term & the same number of terms; prove that the product of the r^(th) term from the beginning in one series & the r^(th) term from the end in the other is independent of r.