Challenging problems after Midterm

Front

What is an exponential function?

Back

Front

What does it mean for a function to exhibit growth?

Back

Front

What does it mean for a function to exhibit decay?

Back

Front

How do you identify a geometric sequence?

Back

A geometric sequence is identified by a constant ratio between consecutive terms. For example, in the sequence 400, 200, 100, 50, 25, the ratio is 0.5.

Front

What is the formula for compound interest?

Back

Front

What is the 12th term of the sequence -1, -3, -9, -27, ...?

Back

The 12th term of the sequence is -177,147. This is a geometric sequence with a common ratio of 3.

Front

What is the future value of an investment of $5000 at an interest rate of 3.75% compounded monthly for 25 years?

Back

The future value is $12,749.30.

Front

What is a common ratio in a geometric sequence?

Back

The common ratio is the factor by which each term in a geometric sequence is multiplied to get the next term. For example, in the sequence 400, 200, 100, the common ratio is 0.5.

Front

What is the difference between arithmetic and geometric sequences?

Back

In an arithmetic sequence, the difference between consecutive terms is constant, while in a geometric sequence, the ratio between consecutive terms is constant.

Front

What is the general form of a geometric sequence?

Back