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 (d) is the fixed amount added to each term to get the next term in the sequence.

Front

Determine the next 3 terms of the arithmetic sequence: 10, 13, 16, 19, ...

Back

22, 25, 28

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

Use the Function Rule to determine the 31st term in the sequence: 3, 7, 11, 15, ...

Back

123

Front

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

Back

61, 70, 79

Front

What is the 8th term of the arithmetic sequence: 7, 2, -3, ...?

Back

-28 is the 8th term.

Front

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

Back

The 10th term is 32.

Front

What is the relationship between the terms in an arithmetic sequence?

Back

Each term is obtained by adding the common difference to the previous term.

Front

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

Back

Subtract any term from the term that follows it.