Unit 11 Sequences Review

Front

Find the first four terms of the sequence: a_n = 2a_(n-1) + n where a_0 = 0

Back

0, 1, 4, 11

Front

Given the recursive formula, find the first four terms: a_n = a_(n-1) + 5, a_1 = -16

Back

-16, -11, -6, -1

Front

Each individual value in a sequence is called a:

Back

Term

Front

What does a_1 represent?

Back

First term

Front

A geometric sequence has a common ratio (r) of 3 and the 8th term (a_8) is 13,122. What is the first term of the sequence (a_1)?

Back

6

Front

Define a recursive sequence.

Back

A sequence where each term is defined based on previous terms.

Front

What is the common difference in an arithmetic sequence?

Back

The constant amount added to each term to get the next term.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

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

Front

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

Back

a_n = a_1 * r^(n-1), where r is the common ratio.

Front

What is the first term of the sequence defined by a_n = 3n + 2?

Back

a_1 = 5.