Recursive Formula Review

Front

What is a recursive formula?

Back

A recursive formula defines the terms of a sequence using previous terms in the sequence.

Tags

CCSS.HSF.BF.A.2

Front

How do you denote the first term of a sequence in a recursive formula?

Back

The first term of a sequence is denoted as a₁.

Tags

CCSS.HSF.BF.A.2

Front

What is the recursive formula for the sequence 17, 1, -15, -31?

Back

a_n = a_n-1 - 16, with a₁ = 17.

Tags

CCSS.HSF.BF.A.2

Front

Given a recursive formula a_n = a_n-1 + 5, what are the first four terms if a₁ = -16?

Back

The first four terms are -16, -11, -6, -1.

Tags

CCSS.HSF.BF.A.2

Front

How do you find the next terms in a sequence defined by a recursive formula?

Back

You apply the recursive formula repeatedly using the last known term.

Tags

CCSS.HSF.BF.A.2

Front

What is the recursive formula for the sequence 15, 12, 9, 6, 3?

Back

u_n = u_n-1 - 3, with u₁ = 15.

Tags

CCSS.HSF.BF.A.2

Front

What are the next three terms in the sequence 5, 8, 11, 14?

Back

The next three terms are 17, 20, 23.

Tags

CCSS.HSF.BF.A.2

Front

What is the recursive formula for the sequence 6, 17, 28, 39, 50?

Back

a_n = a_n-1 + 11, with a₁ = 6.

Tags

CCSS.HSF.BF.A.2

Front

What is the difference between an explicit formula and a recursive formula?

Back

An explicit formula provides a direct way to calculate the nth term, while a recursive formula defines terms based on previous terms.

Tags

CCSS.HSF.BF.A.2

Front

How can you identify the common difference in an arithmetic sequence?

Back

The common difference can be found by subtracting any term from the subsequent term.

Tags

CCSS.HSF.BF.A.2