Ch 5 Sequences Test Review

Front

What is a common difference in an arithmetic sequence?

Back

The common difference is the constant amount that each term increases or decreases by in an arithmetic sequence.

Front

How do you find the common difference in the sequence -34, -29, -24, -19?

Back

The common difference (d) is 5, calculated as -29 - (-34) = 5.

Front

What type of sequence is 35, 53, 70, 86?

Back

This sequence is neither arithmetic nor geometric.

Front

What is a common ratio in a geometric sequence?

Back

The common ratio is the constant factor by which each term is multiplied to get the next term in a geometric sequence.

Front

How do you find the common ratio for the sequence 2, 4, 8, 16?

Back

The common ratio (r) is 2, calculated as 4/2 = 2.

Front

What type of sequence is defined by the terms 7, 35, 175, 875?

Back

This sequence is geometric.

Front

If a sequence doubles each term, what type of sequence is it?

Back

It is a geometric sequence.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term is given by a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the formula for the nth term of a geometric sequence?

Back

The nth term is given by a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

How much money will you have after 6 months if you start with $10 and it doubles every month?

Back

You will have $320 after 6 months.