Sequences & Recursive Formula

Front

What is a recursive formula?

Back

A recursive formula defines each term of a sequence using the preceding term(s).

Tags

CCSS.HSF.BF.A.2

Front

Given f(n)=f(n-1)-2 and f(1)=-4, what are the first 5 terms?

Back

-4, -6, -8, -10, -12

Tags

CCSS.HSF.IF.A.3

Front

How do you write a recursive formula for an arithmetic sequence?

Back

Identify the first term and the common difference, then express it as f(n)=f(n-1)+d, where d is the common difference.

Tags

CCSS.HSF.BF.A.2

Front

What is the common difference in the sequence 6, 17, 28, 39, 50?

Back

The common difference is 11.

Tags

CCSS.HSF.BF.A.2

Front

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

Back

f(n)=f(n-1)-16 and f(1)=17

Tags

CCSS.HSF.IF.A.3

Front

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

Back

Use the formula a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Tags

CCSS.HSF.BF.A.2

Front

What is the 10th term in the arithmetic sequence: -10, -14, -18, -22...?

Back

-46

Tags

CCSS.HSF.BF.A.2

Front

Given f(n)=f(n-1)+2 and f(1)=0, what is f(5)?

Back

8

Tags

CCSS.HSF.IF.A.3

Front

What is the first term of the sequence defined by f(n)=f(n-1)+11 and f(1)=6?

Back

The first term is 6.

Tags

CCSS.HSF.IF.A.3

Front

What does the notation f(n) represent in a recursive formula?

Back

f(n) represents the nth term of the sequence.

Tags

CCSS.HSF.IF.A.3