Question

If the third term of G.P. is P. Then,
the product of the first five terms of
G.P. is​

Answer 1

Given:

The third term of G.P = P

To find:

The product of first five terms of G.P

Calculation:

Let the first term of the G.P is ‘a’ and the common ratio of the G.P be ‘r’. The third term of the G.P (ar²) is P

=> Product of first five terms of G.P = a(ar)(ar²)(ar³)(ar⁴)

                                                          = a⁵r¹⁰

                                                          = (ar²)⁵

                                                          = P⁵

The product of first five terms of the G.P is P⁵