A= a + A1 + A2 + …..+ AN + b
B = a + G1+ G2+ ….+ GN + b
A is the sum of n + 2 terms of an A.P. with first term a & last term b.
B is the sum of n + 2 terms of a G.P. with first term a &last term b.
Then, what can be said about the relative values of A & B?
We can easily solve these problems by considering suitable values.
Let G.P. be 1, 2, 4, 8, 16, 32 and A.P. be 1, 7.2, 13.4, 19.6, 25.8, 32.
A = 99, B = 63. So A > B