# Geometric sequences, Gauss-Jordan, and fraction perations

1. Find the sum of the first five terms of the geometric sequence.

A=3, r=2

2

a. 93 b. 5 c. 1 d. 93

2 2

2. Use the Gauss-Jordan method to solve the system of equations.

x - y + 3z = 16

3x + z = 4

x + 2y + z = -4

a. No solution b. (4, 0, -4) c. (0, -4, 4) d. (4, -4, 0)

3. Perform the indicated operation. Give the answer in lowest terms.

8p - 8 / 10p - 10

P 6p^2

a. 5 b. 80p^2 + 160p +80 c. 24p d. 48p^3 - 48p^2

24p 6p^3 5 10p^2 - 10p

https://brainmass.com/math/fractions-and-percentages/geometric-sequences-gauss-jordan-fraction-perations-172431

#### Solution Preview

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1. Find the sum of the first five terms of the geometric sequence.

A=3, r=2

2

a. 93 b. 5 c. 1 d. 93

2 2

The general term of the geometric sequence is

, where n = 1, 2, 3, ...

Or

So the first five terms are:

Therefore, the sum of ...

#### Solution Summary

This shows how to find the sum of the first terms of a given geometric sequence, use Gauss-Jordan to solve an equation, and perform operations on polynomial fractions.