Question

Find the infinite sum, if it exists for this series: −2+ (0.4) + (−0.08) +⋯

Answer 1

The sum to infinity of the series is calculated using the formula:

Since the value of r satisfies the condition, we can apply the formula to get the sum to infinity as shown below:

`\begin{gathered} S_n=(-2)/(1-(-0.2))=-(2)/(1.2) \\ S_n=-1.66666666667 \end{gathered}`