# Geometric Series and Sums

Please see the attached Microsoft Word document.

Thanks for your expertise.

Part A Find a specific geometric that sums up to 30.

Part B Can you find a specific geometric series that sums to -30 ?

Part C Can you find a specific geometric series summing up to - ?

Part D Determine precisely which real numbers can be sums of a geometric series.

https://brainmass.com/math/algebraic-geometry/geometric-series-sums-252145

#### Solution Preview

Part A Find a specific geometric that sums up to 30.

Solution

There are two possibilities to determine sum of two geometric series.

Suppose, if we take first term a=2, number of terms 4 and r = 2 then sum

In case of infinite series then

...

#### Solution Summary

This provides examples of working with geometric series and sums.

$2.49