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 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

What is the formula for the nth term of the sequence 2, 5, 8, 11, ...?

Back

a_n = 2 + 3(n - 1) where 3 is the common difference.

Front

Identify the common difference in the sequence: 10, 20, 30, 40, ...

Back

The common difference is 10.

Front

Find the 20th term in the arithmetic sequence: 5, 12, 19, 26...

Back

The 20th term is 138.

Front

What is the 35th term in the sequence: -10, -14, -18, -22, ...?

Back

The 35th term is -146.

Front

Which of the following is NOT an arithmetic sequence: -7, -13, -19, -25 or 3, 15, 75, 375?

Back

3, 15, 75, 375 is NOT an arithmetic sequence.

Front

If the first term of an arithmetic sequence is 4 and the common difference is 2, what is the 10th term?

Back

The 10th term is 22.

Front

What is the common difference in the sequence: 7, 10, 13, 16, ...?

Back

The common difference is 3.