Question

If the (p + q)th term of a G.P. is A and (p- q)th term is B, determine its P th term.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The pth of the given series is $\sqrt{ab}$

Step-by-step explanation:

Given:

If the (p + q)th term of a G.P. is A and (p- q)th term is B, determine its P th term.

Solution:

Let a be the first term and r be the common ratio of GP

a $\times\ r^{p+q-1}$ = a

a $\times\ r^{p-q-1}$ = b

multiplying the equations, we get

$a^2 \times r^{2p-2} = a \times b$

pth term =$\sqrt{ab}$

To Know more:

If pth term of an GP is P and qth term is Q find .nth term is​

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