Final Exam Review Units 5-10

Front

Back

( x + 5 )( x - 5 )

Front

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

Back

9766

Front

Write the explicit formula for the geometric sequence.

Back

a_n = 3(-4)^{n-1}

Front

Is this exponential growth or decay?

Back

Growth

Front

Back

Front

What is the formula for the area of a circle?

Back

A = \pi r^2

Front

What is the quadratic formula?

Back

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Front

Define a geometric sequence.

Back

A sequence where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the difference between exponential growth and decay?

Back

Growth increases over time, while decay decreases over time.

Front

What is the formula for the sum of the first n terms of an arithmetic series?

Back

S_n = \frac{n}{2}(a_1 + a_n)