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 using the previous term(s).

Front

Given the recursive formula a_n = a_(n-1) - 18 and a_1 = 10, find the first four terms.

Back

10, -8, -26, -44

Front

Given the explicit formula a_n = 6n - 1, find the first four terms.

Back

5, 11, 17, 23

Front

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

Back

12

Front

Which sequence has a pattern of 'multiply by 4'?

Back

3, 12, 48, 192,...

Front

What is the first term of the sequence defined by a_n = 5n + 2?

Back

7 (when n=1).

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 4, 7, 10, 13,...?

Back

3 (the difference between consecutive terms).