Arithmetic 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 the 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

Find the common difference: 2, 5, 8, 11, ...

Back

d = 3

Front

Is the sequence arithmetic: 3, 6, 9, 12, ...?

Back

Yes

Front

Find the 10th term of the sequence: 1, 4, 7, ...

Back

The 10th term is 28.

Front

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

Back

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

Front

Given the sequence: 10, 7, 4, 1,... Write the explicit equation that models the sequence.

Back

a_n = -3n + 13

Front

Find the next two terms of the sequence: 12, 15, 18, 21,...

Back

The next two terms are 24 and 27.

Front

What is the 5th term of the sequence: 6, 10, 14, ...?

Back

The 5th term is 22.

Front

Is the sequence arithmetic: 5, 10, 20, 40, ...?

Back

No