A= a + A1 + A2 + …..+ AN + b B = a + G1+ G2+ ….+ GN + bA is the s

1.	A= a + A1 + A2 + …..+ AN + b B = a + G1+ G2+ ….+ GN + bA 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» 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

A= a + A1 + A2 + …..+ AN + b B = a + G1+ G2+ ….+ GN + bA 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»

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

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A= a + A1 + A2 + …..+ AN + b B = a + G1+ G2+ ….+ GN + bA is the sum of n + 2 terms of an A.P. with first term a &amp; last term b.B is the sum of n + 2 terms of a G.P. with first term a &amp;last term b.Then, what can be said about the relative values of A &amp; B?

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A= a + A1 + A2 + …..+ AN + b B = a + G1+ G2+ ….+ GN + bA 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?