Question

find the sum of the infinite geometric sequence whose first term is 1.2, whose ratio is 0.5, and which has four terms

Answer 1

Answer:

The sum of the sequence is 2.4

Explanation:

The sum of infinite geometric sequence is given as:

$S_{\infty}=\frac{a}{1-r}$

where a is the first term and r is the common ratio.

Using the given a = 1.2, and r = 0.5, we have:

$\begin{gathered} S_{\infty}=\frac{1.2}{1-0.5} \\ \\ =\frac{1.2}{0.5}=2.4 \end{gathered}$