8 + 88 + 888 ………n terms = | MATH - nth TERM OF SPECIAL SERIES, SUM TO n TERMS AND INFINITE NUMBER OF TERMS | SolveeIt | Solveeit

Today, August 18

Question

8 + 88 + 888 ………n terms =

A

$\frac { 80 } { 81 }$ (10ⁿ – 1) –

B

$\frac { 10 } { 81 }$ (10ⁿ – 1)

C

$\frac { 80 } { 81 }$ (10ⁿ – 1) +

D

None

Answer

$\frac { 80 } { 81 }$ (10ⁿ – 1) –

Explanation

Solution

Put n = 1 ® 8

4 n = 2 ® 8 + 88 = 96