Question

Sum of the series $567,189,63,...$ upto $5$ terms is

• A. $756$
• B. $847$
• C. $956$
• D. $849$

Answer 1

The correct option is B $847$

Here $\frac{189}{567}=\frac{1}{3}$
and $\frac{63}{189}=\frac{1}{3}$
So, it is G.P. with $r=\frac{1}{3}$
Sum $=\frac{a(r^n-1)}{r-1}$
$\Rightarrow S_5=\frac{567({\left(\frac{1}{3}\right)}^5-1)}{\frac{1}{3}-1}=847$