Question

If the first and last term of a G.P is 2 and 128 respectively with five terms in between then, the common ratio of the G.P is

• A. 4
• B. 2
• C. 6

Answer 1

The correct option is B 2

Since ,
the first term is 2 and the last term is 128
Number of terms between 2 and 128 is 5
So, b=128 , a=2, n=5
Now, let the common ratio be r
So,
$r=(\frac{b}{a}{)}^{\frac{1}{n+1}}$
= $(\frac{128}{2}{)}^{\frac{1}{5+1}}$
= 2