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

How do you find the n^th term of an arithmetic sequence?

Back

The n^th term can be found using the formula: a_n = a₁ + (n-1)d, where a₁ is the first term and d is the common difference.

Front

What is the explicit formula for the n^th term of the sequence 16, 13, 10, 7, ...?

Back

a_n = -3n + 19.

Front

Which of the following is NOT an arithmetic sequence: 12, 18, 24, 30; 10, 3, -4, -11; 2, 4, 8, 16; 16, 20, 24, 28?

Back

2, 4, 8, 16 is NOT an arithmetic sequence.

Front

What are the next two terms of the arithmetic sequence 3, -4, -11?

Back

The next two terms are -18 and -25.

Front

What is the 67^th term of the arithmetic sequence 13, 22, 31, 40, ...?

Back

The 67^th term is 607.

Front

What is the 76^th term of the arithmetic sequence 8, 14, 20, 26, ...?

Back

The 76^th term is 458.

Front

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

Back

The 10^th term is 32.

Front

How do you determine if a sequence is arithmetic?

Back

A sequence is arithmetic if the difference between consecutive terms is constant.