Sequences: Explicit & Recursive Formulas

Front

What is a sequence?

Back

A sequence is a set of numbers in a specific order.

Front

What is an explicit formula for a sequence?

Back

An explicit formula defines the nth term of a sequence directly in terms of n.

Front

What is a recursive formula for a sequence?

Back

A recursive formula defines each term of a sequence based on the previous term(s).

Front

Find the first four terms of the sequence: a_n = 7(n + 2).

Back

21, 28, 35, 42

Front

Given a recursive formula a_{n+1} = a_n + 9 where a_1 = -2, find the first four terms.

Back

-2, 7, 16, 25

Front

What is the pattern in the sequence: 2, 7, 12, 17,...?

Back

Add 5.

Front

If a_n = 7, what is a_{n+1} in the sequence 2, 7, 12, 17,...?

Back

12

Front

What does the term 'n' represent in sequences?

Back

The term 'n' represents the position of a term in the sequence.

Front

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

Back

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

Front

What is the common difference in the sequence: 3, 7, 11, 15,...?

Back

The common difference is 4.