Question

In a GP , IF  an =5(0.2)n-1 express value of r in P/Q form is________​

Answer 1

The value of r in p/q form is 1/5

Step-by-step explanation:

If the first term of the GP is a and common ratio r

Then,

The nth term of GP is

$a_n=ar^{n-1}$

Given

$a_n=5(0.2)^{n-1}$

Comparing this to the general term, we get

$a=5$

$r=0.2$

or, $r=\frac{1}{5}$

Therefore, r in p/q form is 1/5

Hope this answer is helpful.

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Answer 2

p/q = 1/5

Step-by-step explanation:

Given: In a GP,  an = 5(0.2)^(n-1)

Find: Value of r in p/q form

Solution:

nth term a(n) = ar^(n-1)  where a is the first term and r is the common ratio of the GP.

Given term of GP is 5(0.2)^(n-1).

We find that a = 5 and r = 0.2 from the given term.

So let's write r in the p/q form.

r = 0.2 = 2/10 = 1/5

p/q = 1/5 where p = 1 and q = 5.