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 constant amount that each term in the sequence increases or decreases by.

Front

Find the common difference of the arithmetic sequence 14, 20, 26, ...

Back

6

Front

Is 20, 10, 5, ... an arithmetic sequence?

Back

False

Front

Find the 75th term of the arithmetic sequence -17, -13, 9, ...

Back

279

Front

Find the common difference of the arithmetic sequence -19, -14, -9, ...

Back

5

Front

Is 24, 15, 6, ... an arithmetic sequence?

Back

True

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 first term of the arithmetic sequence 3, 7, 11, ...?

Back

3

Front

If the first term of an arithmetic sequence is 5 and the common difference is 2, what is the 10th term?

Back

The 10th term is 23.