Arithmetic Sequence & Recursive Formula

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

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

Back

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

Front

Given the recursive formula a_n = a_{n-1} + 5, a_1 = -16, what are the first four terms?

Back

-16, -11, -6, -1

Front

What is a term in a sequence?

Back

Each individual number in a sequence of numbers is called a term.

Front

Find the 4th term for the sequence defined by a_1 = 9; a_n = a_{n-1} + 8.

Back

33

Front

What is the first term of the sequence defined by a_n = a_{n-1} + 8, a_1 = 9?

Back

9

Front

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

Back

To find the nth term, use the formula: a_n = a_1 + (n-1) * d, where d is the common difference.

Front

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

Back

a_n = a_1 + (n-1) * d.

Front

What is the common difference for the sequence 4, 12, 20, 28, 36?

Back

The common difference is 8.