Question

The first term of the GP is 64 and the 4th term is 216, Identify the 7th term

Answer 1

Answer:

the 7th term is 729

Step-by-step explanation:

In GP series if a be the first term , r be the common ratio then the nth term will be T(n) = a $r^{n-1}$

according to question T(4) = 216

⇒ 64 $r^{4-1}$ = 216

⇒$r^{3}$  = 27/8

⇒ r = 3/2

∴ 7th term = T(7) = 64 × (3/2)^6

= 729