Question

If the product of four consecutive terms in g.P is 625. Find the first term book

Answer 1

Let a, ar, $ar^2$, $ar^3$ be the four consecutive terms of GP.

Since, the product of these four terms is 625.

So, $a \times ar \times ar^2 \times ar^3 = 625$

Since, the product of the four terms is 625. So, the common ratio r = 1

Therefore, $a \times ar \times ar^2 \times ar^3 = 625$

$a \times a \times a \times a = 625$

$a^4 = 625$

$a^4 = 5^4$

So, a = 5

Therefore, the first term of the given GP is 5.