Arithmetic Sequences and Series

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

Front

What is the common difference in the sequence 5, 8, 11, 14, ...?

Back

The common difference is 3, as each term increases by 3.

Front

How do you find the sum of the first n terms of an arithmetic series?

Back

Front

What is the 10th term in the arithmetic sequence 2, 5, 8, ...?

Back

The 10th term is 29.

Front

What is the formula for the sum of an arithmetic series?

Back

Front

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

Back

The common difference is -3.

Front

What is the 5th term in the sequence 4, 10, 16, ...?

Back

The 5th term is 34.

Front

Which of the following is NOT an arithmetic sequence: 1, 3, 5, 7, ... or 2, 4, 8, 16, ...?

Back

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

Front

What is the sum of the arithmetic series 1 + 3 + 5 + ... + 19?

Back

The sum is 100.