Identifying Common Differences in Sequences12.2.24

Front

What is each individual number in a sequence called?

Back

Term

Front

Find the pattern: 29, 21, 13, 5, ... What is the common difference?

Back

-8

Front

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

Back

-11

Front

Is the sequence 2, 5, 8, 11, 14, ... arithmetic or geometric?

Back

Arithmetic

Front

Find the pattern: -34, -29, -24, -19, ... What is the common difference?

Back

+5

Front

What is a sequence?

Back

A sequence is an ordered list of numbers that follow a specific pattern.

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

How do you find the common difference in a sequence?

Back

Subtract the first term from the second term.

Front

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

Back

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