Question

If first term of a G.P. is 20 and common ratio is 4. Find the 5 th term.​

Answer 1

Step-by-step explanation:

tn = ar^(n-1)

where a=20,r=4

t5= 20×4^(5-1)

t5= 20×256

t5= 5120

Answer 2

Given : First term of a G.P. is 20 and common ratio is 4.

To find : The 5th term of G.P.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the 5th term of G.P.)

Here, we will be using the following mathematical formula.

nth term of G.P. = a × rⁿ⁻¹

Where,

• a = first term of G.P.
• r = common ratio

In the given case,

• n = 5
• a = 20
• r = 4

So, the 5th term of the given G.P. is :

= 20 × 4⁵⁻¹

= 20 × 4⁴

= 5120

(This will be considered as the final result.)

Hence, the 5th term is 5120