Question

if the first term of a gp is 5 and the tenth term is 5^10 then the common ratio is..
pls give proper explanation step by step my friend...

Answer 1

Answer:

common ratio = 5

Step-by-step explanation:

a(first term) = 5

aₙ = a.rⁿ⁻¹

r is the common ratio

n is the number of terms

5¹⁰ = 5 r¹⁰⁻¹

• 5 from one side goes to the denominator of the other side, their powers getting subtracted in the process.

5⁹ = r ⁹

• since the powers are same, for both sides to be equal their bases too should be same.

r = 5

Since, r is the common ratio. common ratio of the given GP is 5

                               

Hope this helps!