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 3, 11, 19?

Back

a_n = 3 + (n-1)(8) where 8 is the common difference.

Front

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

Back

The 10th term is 32.

Front

What does the slope of a linear function represent in an arithmetic sequence?

Back

The slope represents the common difference between the terms.

Front

Identify the common difference in the sequence: 97, 86, 75, 64.

Back

The common difference is -11.

Front

What is the common difference of the arithmetic sequence: -6, -1, 4, 9?

Back

The common difference is 5.

Front

What operation is used to generate terms in an arithmetic sequence?

Back

Adding or subtracting a constant value.

Front

If the first term is 10 and the common difference is -2, what is the 5th term?

Back

The 5th term is 0.