Arithmetic and Geometric Sequences

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers 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 formula for the nth term of an arithmetic sequence?

Back

The nth term of an arithmetic sequence can be found using the formula: 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 of a geometric sequence can be found using the formula: a(n) = a(1) * r^(n-1), where a(1) is the first term and r is the common ratio.

Front

How do you find the common difference in an arithmetic sequence?

Back

The common difference (d) is found by subtracting any term from the subsequent term: d = a(n+1) - a(n).

Front

How do you find the common ratio in a geometric sequence?

Back

The common ratio (r) is found by dividing any term by the previous term: r = a(n) / a(n-1).

Front

What is the 10th term of the sequence a(n) = 20 - 2n?

Back

0

Front

What are the individual numbers in a sequence called?

Back

Terms.

Front

If f(x) = -9x + 12, what is f(20)?

Back

-168

Front

Identify the common difference in the sequence: 97, 86, 75, 64, ...

Back

-11