Let and be two distinct positive real numbers. Let term of a GP, whose first term is and third term is , is equal to term of another GP, whose first term is and fifth term is . Then is equal to...

Let a and b be two distinct positive real numbers. Let 11^{{th}{~}} term of a GP, whose first term is a and third term is b, is equal to p^{{th}{~}} term of another GP, whose first term is a and fifth term is b. Then p is equal to: Sequence & Series (Mathematics)

Let

a

and

b

be two distinct positive real numbers. Let

11^{\text{th}\text{~}}

term of a GP, whose first term is

a

and third term is

b

, is equal to

p^{\text{th}\text{~}}

term of another GP, whose first term is

a

and fifth term is

b

. Then

p

is equal to