Question

Sum of 8 terms of the G.P. 5,50,500……… is

a) 555555 b) 5555555 c) 55555555 d)99999995 ​

Answer 1

Answer:

Option C is the answer for the given problem

Step-by-step explanation:

Given :-

5,50,500...are in the GP

To find:-

Sum of 8 terms

Solution:-

5,50,500,....are in the GP

First term (a) = 5

Common ratio (r) = a2/a1= 50/5= 10

we know that

the sum of n terms of the GP

= Sn= a[(r)^n-1]/(r-1) ......(r>1)

=>S8= 5[(10)^8-1]/(10-1)

=>S8= 5[100000000-1]/9

=>S8= 5(99999999)/9

=>S8= 5(11111111)

=>S8=5,55,55,555

Answer:-

Sum of 8 terms of the GP = 5,55,55,555