Sequences/Series

A sequence is _______.

• a set of numbers in a specific order.

• a formula used to find a number.

• the term after a_n.

• a collection of data.

Given the following sequence, what is a₅?

2, 7, 12, 17,...

• 2

• 12

• 17

• 22

Which sequence has a growth factor of 4.

• 2, 6, 10, 14,...

• 4, 12, 36, 108,...

• 1, 4, 7, 10,...

• 3, 12, 48, 192,...

Find the first four terms of the sequence.

a_n= 7(n + 2)

• 21, 28, 35, 42

• 7, 9, 11, 13

• 9, 16, 23, 30

• 16, 23, 30, 37

Given the first five terms, write the recursive formula.
15, 12, 9, 6, 3 ....

• u₁ = 15
  u_n = u_n-1 + 3
• u₀ = 15
  u_n = u_n-1 + 3
• u₁ = 15
  u_n = u_n-1 - 3 
• u₀ = 15
  u_n = u_n-1 - 3

Given the sequence below, write the explicit formula.
3, 8, 13, 18 ... 

Determine if the following sequence is arithmetic or geometric.

6, 30, 150, 750, ...

• Arithmetic

• Geometric

Determine if the following sequence is arithmetic or geometric.

2, 5, 8, 11, 14, ...

• Arithmetic

• Geometric

Determine if the following sequence is arithmetic or geometric.

80, 20, 5, 1.25, ...

• Arithmetic

• Geometric

Determine if the following sequence is arithmetic or geometric.

-3, -6, -12, -24, ...

• Arithmetic

• Geometric