Q16 of 176 Page 21

If then show that a, b, c, and d are in G.P.

Given:

To Prove: a, b, c, and d are in G.P

Proof:

Applying componendo and dividend to the given expression, we get,

Clearly, a, b, c, and d are in G.P.

Hence, Proved.

In a GP the 3^rd term is 24, and the 6^th term is 192. Find the 10^th term.

If a, b, c, d and p are different real numbers such that :

(a² + b² + c²)p² – 2(ab + bc + cd) p + (b² + c² + d²) ≤ 0, then show that a, b, c and d are in G.P.

If the p^th and q^th terms of a G.P. are q and p respectively, show that (p + q)^th term is

Find three numbers in G.P. whose sum is 65 and whose product is 3375.