Arithmetic Sequence Practice

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

True or False: The sequence 3, 5, 7 is an arithmetic sequence.

Back

True

Front

What is the common difference in the arithmetic sequence 10, 7, 4?

Back

The common difference is -3.

Front

Identify the type of rule: a_n = 2n + 3. Is it recursive or explicit?

Back

It is an explicit rule.

Front

Find the first four terms of the sequence defined by a_n = 3n + 1.

Back

The first four terms are 4, 7, 10, 13.

Front

What is the formula to find the nth term of an arithmetic sequence?

Back

The nth term can be found 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 25th term of the sequence if a_1 = 5 and d = 0.5.

Back

The 25th term is 17.

Front

True or False: The sequence 20, 10, 5 is an arithmetic sequence.

Back

False.

Front

Identify the type of rule: a_1 = 100, a_n = a_{n-1} - 8. Is it recursive or explicit?

Back

It is a recursive rule.

Front

What is the common difference in the arithmetic sequence 15, 12, 9?

Back

The common difference is -3.