Arithmetic Sequences

Front

Define common difference.

Back

the difference between two consecutive terms of an arithmetic sequence.

Front

Find the common difference: 29, 21, 13, 5, ...

Back

d = -8

Front

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

Back

61, 70, 79

Front

Define arithmetic sequences.

Back

A sequence whose terms change by adding the same number each time.

Front

Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...

Back

-23, -28, -33

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.

Front

If the first term of an arithmetic sequence is 10 and the common difference is 3, what is the 5th term?

Back

The 5th term is 22.

Front

What is the sum of the first n terms of an arithmetic sequence?

Back

S_n = n/2 * (a_1 + a_n), where S_n is the sum, a_1 is the first term, and a_n is the nth term.

Front

Find the 10th term of the arithmetic sequence: 2, 5, 8, 11, ...

Back

The 10th term is 32.

Front

What is the common difference in the sequence: 7, 10, 13, 16, ...?

Back

The common difference is 3.