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 added to each term to get the next term in the sequence.

Front

Identify the rule as recursive or explicit: a_n = 3n + 2. What are the first 4 terms?

Back

Explicit; 5, 8, 11, 14.

Front

Find the 10th term of the arithmetic sequence: 4, 8, 12, 16, ...

Back

The 10th term is 40.

Front

Write the explicit rule for the arithmetic sequence: 2, 5, 8, 11, ...

Back

a_n = 3n - 1.

Front

Is the following sequence arithmetic? 10, 15, 20, 25, ...

Back

YES.

Front

Find the next three terms for the arithmetic sequence: 7, 14, 21, ...

Back

28, 35, 42.

Front

What is the formula to find 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

Identify the common difference in the sequence: 12, 9, 6, 3, ...

Back

The common difference is -3.

Front

Find the 5th term of the sequence defined by a_n = 2n + 1.

Back

The 5th term is 11.