Question

Sum of the series .5 + .55 + .555 + ………. upto n terms is

• A. $\frac { 5 } { 9 } \left[ n - \frac { 2 } { 9 } \left( 1 - \frac { 1 } { 10 ^ { n } } \right) \right]$
• B. $\frac { 3 } { 9 } \left[ 3 - \frac { 1 } { 9 } \left( 1 - \frac { 1 } { 10 ^ { n } } \right) \right]$
• C.
• D.

Answer 1

Answer: (D)

Answer 2

S_n =$\frac { 5 } { 9 }$[0.9 + 0.99 + 0.999 + ……. upto n term]

=$\frac { 5 } { 9 }$

=

=