Question

Consider two different infinite geometric progressions with their sums $S_1$ and $S_2$ as
$S_1=a+ar+a{r}^2+a{r}^3+\dots \dots \dots ..\infty$
$S_2=b+bR+b{R}^2+b{R}^3+\dots \dots \dots \dots \infty$
If $S_1=S_2=1,ar=bR$ and $a{r}^2=\frac{1}{8}$ then answer the following:
The sum of their first terms is

• A. 1
• B. 2
• C. 3
• D. none

Answer 1

Answer: (A)

Correct answer is (a) 1