Question

A= a + A₁ + A₂ + …..+ A_N + b 

B = a + G₁+ G₂+ ….+ G_N + 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?

Answer 1

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