Question

find G.P. -If a=2/3,t6=162,find r​

Answer 1

Answer:

Mate plzz see the attachment,

R= 3

Answer 2

Answer:

r=3

Step-by-step explanation:

First term = a = $\frac{2}{3}$

Formula of nth term of GP = $T_n = ar^{n-1}$

where a is the first and r is the common ratio

Substitute n = 6

$T_6= ar^{6-1}$

$T_6= \frac{2}{3}r^{6-1}$

We are given that $T_6 = 162$

$162= \frac{2}{3}r^{5}$

$162 \times \frac{3}{2}= r^{5}$

$243= r^{5}$

$243^{\frac{1}{5}}= r$

$3= r$

So, the value of r is 3