Sequences Recursive Definition

Front

What is a recursive sequence?

Back

A recursive sequence is a sequence of numbers where each term is defined as a function of one or more of the preceding terms.

Front

What is the recursive formula for the sequence 4, 8, 12...?

Back

f(n)=f(n-1)+4 and f(1)=4.

Front

How do you find the common difference in an arithmetic sequence?

Back

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

Front

What is the common difference in the sequence 97, 86, 75, 64...?

Back

-11.

Front

What is the first term in the recursive formula f(n)=f(n-1)-5 and f(1)=10?

Back

10.

Front

What are the first five terms of the sequence defined by f(n)=f(n-1)-2 and f(1)=-4?

Back

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

Front

What does f(1) represent in a recursive sequence?

Back

f(1) represents the first term of the sequence.

Front

What is the formula for the sequence 2, 8, 14...?

Back

f(n)=f(n-1)+6 and f(1)=2.

Front

How do you determine the next term in a recursive sequence?

Back

You apply the recursive formula using the previous term.

Front

What is the significance of the common difference in an arithmetic sequence?

Back

The common difference determines how much each term increases or decreases from the previous term.