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 (d) is the fixed amount that each term increases or decreases by in an arithmetic sequence.

Front

Find the next three terms in the arithmetic sequence: 2, 5, 8, 11, ...

Back

14, 17, 20

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term (a_n) 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

Find a_10 in the arithmetic sequence: 3, 7, 11, 15, ...

Back

a_10 = 39

Front

Is the sequence arithmetic? 4, 10, 16, 22, ...

Back

Yes

Front

Find the common difference: 10, 7, 4, 1, ...

Back

d = -3

Front

Write the recursive rule for the arithmetic sequence: 10, 6, 2, -2, ...

Back

a_1 = 10; a_n = a_{n-1} - 4

Front

What is the first term of the arithmetic sequence: 12, 9, 6, 3, ...?

Back

The first term (a_1) is 12.

Front

Find the next three terms in the arithmetic sequence: -5, 0, 5, 10, ...

Back

15, 20, 25