Logarithmic and Exponential Equations Worksheet

The population of a city is 120,000 and grows exponentially at a rate of 4% per year. Which equation best represents the population after x years?

In a geometric sequence, the first term is 5 and the common ratio is 3. What is the sum of the first 7 terms?

• 1092

• 1270

• 1364

• 1640

Samantha invests $3,000 in a fixed deposit account at a bank with an annual interest rate of 6%. If the interest is compounded every 6 months, which formula determines the amount Samantha will have at the end of t years?

What is the common ratio of the geometric sequence: 27, -36, 48, -64, ...?

• 192

• -192

• -4/3

• -3/4

A radioactive substance has a half-life of 7 days. If the initial quantity of radioactive particles is 64, how many particles will remain after 14 days?

• 64

• 32

• 16

• 8

• 1/2

• 2

• 0

• 3/2

• 1

• 2

• 3/2

• 5/2