Question

Sum of the first five terms of the geometric series $1+\frac{2}{3}+\frac{4}{9}+$....is

• A. $\frac{211}{81}$
• B. $\frac{81}{211}$
• C. $-\frac{211}{81}$
• D. $-\frac{81}{211}$

Answer 1

Answer: (A)

$\frac{211}{81}$

$S_5=\frac{1\times \left[{1-\left(2/3\right)}^5\right]}{1-\left(2/3\right)}=\frac{211}{81}$