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 that each term increases or decreases by in an arithmetic sequence.

Front

Find the next two terms of the sequence 4, 7, 10, 13.

Back

16 and 19.

Front

Write the recursive formula for the sequence 6, 17, 28, 39, 50.

Back

a_n = a_{n-1} + 11, a_1 = 6.

Front

Write a recursive rule for the sequence 17, 1, -15, -31.

Back

a_n = a_{n-1} - 16, a_1 = 17.

Front

What is the next term in the sequence 1, 4, 9, 16, 25?

Back

36.

Front

Find the 32nd term of the sequence 9, 4, -1, -6, -11.

Back

-146.

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 d is the common difference.

Front

What is the first term of the sequence 5, 8, 11, 14?

Back

5.

Front

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

Back

22.