Math, asked by mohanfulzele, 11 months ago

if a=2/3 t6=162 find r​

Answers

Answered by bhagyashreechowdhury
34

Hi,

Answer: 3

Step-by-step explanation:

Given data:

The first term of the G.P. = a = 2/3

t6 = 162  

To find: value of r

We know that the formula for nth term of G.P. is,

tn = a * rⁿ⁻¹

where,

a = first term

r = common ratio  

Here we are given, n = 6

t6 = (2/3) * r⁶⁻¹

162 = 2/3 * r⁵

r⁵ = (162 * 3) / 2  

r = 243^(1/5)

r = 3  

Thus, the value of r is 3.

Hope it is helpful!!!

Answered by heishiny
2

Step-by-step explanation:

The answer of the above question is 3

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