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 fixed amount that each term increases or decreases by in an arithmetic sequence.

Front

Identify the common difference in the sequence: 5, 10, 15, 20.

Back

The common difference is 5.

Front

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

Back

The nth term (a_n) can be calculated using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

Find the 10th term of the arithmetic sequence: 2, 4, 6, 8.

Back

The 10th term is 20.

Front

What is the difference between an arithmetic sequence and a geometric sequence?

Back

In an arithmetic sequence, each term is obtained by adding a constant (common difference), while in a geometric sequence, each term is obtained by multiplying by a constant (common ratio).

Front

If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 5th term?

Back

The 5th term is 19.

Front

What is the common difference in the sequence: 12, 9, 6, 3?

Back

The common difference is -3.

Front

In the sequence 7, 14, 21, what is the common difference?

Back

The common difference is 7.

Front

What is the 7th term of the arithmetic sequence: 1, 3, 5, 7?

Back

The 7th term is 13.