Using Recursive/Explicit

Front

What is a recursive sequence?

Back

A recursive sequence is a sequence in which each term is defined as a function of one or more of its preceding terms.

Tags

CCSS.HSF.BF.A.2

Front

What is an explicit formula?

Back

An explicit formula defines the nth term of a sequence directly in terms of n, without referencing previous terms.

Tags

CCSS.HSF.BF.A.2

Front

How do you find the common ratio in a geometric sequence?

Back

The common ratio (r) is found by dividing any term by the previous term in the sequence.

Tags

CCSS.HSF.BF.A.2

Front

What is the formula for the nth term of a geometric sequence?

Back

The nth term can be found using the formula a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Tags

CCSS.HSF.BF.A.2

Front

Given the sequence 64, -16, 4, -1, what is the common ratio?

Back

r = -1/4.

Tags

CCSS.HSF.BF.A.2

Front

What are the next three terms in the sequence 4, 12, 36, 108?

Back

The next three terms are 324, 972, 2916.

Tags

CCSS.HSF.BF.A.2

Front

If a_1 = -3 and a_n = a_{n-1} * 3, what are the first three terms?

Back

The first three terms are -3, -9, -27.

Tags

CCSS.HSF.BF.A.2

Front

What recursive formula describes the sequence 2, -6, 18, -54?

Back

a_n = a_{n-1} * -3, a_1 = 2.

Tags

CCSS.HSF.BF.A.2

Front

What is the recursive formula for geometric sequences?

Back

The recursive formula is a_n = a_{n-1} * r.

Tags

CCSS.HSF.BF.A.2

Front

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

Back

The first term (a_1) is 2.

Tags

CCSS.HSF.BF.A.2