Question

The sum of the series $10-5+2.5-\mathrm{1.25.....}$ is called

• A. finite geometric sequence
• B. finite arithmetic sequence
• C. infinite geometric sequence
• D. infinite harmonic sequence

Answer 1

The correct option is C infinite geometric sequence

Given series is $10-5+2.5-\mathrm{1.25.....}$

Here the common ratio is $\frac{-5}{10}=-\frac{1}{2}$.

It is also never ending and continued.

Hence, the given series is infinite geometric series.