Intro to Series and Sequence

Carey is organizing her books and putting them on shelves. She put 2 books on the first shelf, 8 books on the second shelf, 32 books on the third shelf, and 128 books on the fourth shelf. What kind of sequence is this?

• Geometric

• Arithmetic

• Both

• Neither

What are the next 3 terms in the following geometric sequence? 512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 0, -128, -256

• 64, 32, 16

• 64, 128, 256

Which of the following forms an arithmetic sequence?

• -1, -1, -1, -1, -1, -1, ...

• 0, 2, 0, 2, 0, 2, ...

• 1, 1, 2, 2, 3, 3, ...

• 1/2, 1/3, 1/4, 1/5, 1/6, 1/7, ....

Find S₁₄ for the arithmetic sequence.

• 959

• 36

• 497

• 185

If possible, find the sum of the series.

100 + (-50) + 25 + ...

• 200

• 200/3

• 150

• No Sum (Diverges)

• 16

• 15

• 14

• 13

• 5

• 10

• 15

• 20

A rule that defines the nth term a_n, or a general term, of a sequence as a function of n.

• Explicit Rule

• Arithmetic Sequence

• Recursive Rule

An equation to represent the n^th term of the sequence is known as 

• explicit formula

• arithmetic sequence

• geometric sequence

• recursive formula