In a finite AP, the sum of the terms equidistant from the beginning and end is always same and is equal to the sum of first and last terms.

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.

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.

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.

(iv) 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 terms.

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.

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.

Prove that in an A.P. of finite number of terms the sum of any two terms equidistant from the beginning and the end is equal to the sum of the first and last terms.