Arithmetic Sequences

Which of the following is not an arithmetic sequence?

• 1/2, 1, 3/2, 2

• 11, 14, 17, 20

• 2, 4, 8, 16

• 5, 2, -1, -4

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the sequence shown below.

3, -3, -9, -15

• a_n=3+6(n-1)

• a_n=3−6(n-1)

• a_n=6−3(n-1)

• a_n=6+3(n-1)

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the sequence shown below.

1, 6, 11, 16

• a_n=1+5(n-1)

• a_n=1−5(n-1)

• a_n=5−(n-1)

• a_n=5+(n-1)

Tags

CCSS.HSF.BF.A.2

What is the 20^th term of the arithmetic sequence shown below.

7, 4, 1,...

• -49

• 50

• -50

• -51

Tags

CCSS.HSF.BF.A.2

For the sequence shown below, write the explicit formula then find the 57^th term. What is the 57^th term?

• -266

• -265

• -267

• -260

Tags

CCSS.HSF.BF.A.2

For an arithmetic sequence, f(1)=⅘ and the common difference is -1. What is f(20)?

• 18 ⅕

• −⅕

• −20 ⅕

• −18 ⅕

Tags

CCSS.HSF.BF.A.2

An arithmetic sequence is described by the function f(n)=−3n+7. What are the first 5 terms of the sequence?

• 7, 10, 13, 16, 19

• 4, 1, -2, -5, -8

• -4, -1, 2, 5, 8

• -7, -10, -13, -16, -19

Tags

CCSS.HSF.BF.A.2

Find the common difference: 1, 201, 401, 601, ...

• d = 100
• d = 101
• d = 200
• d = 201

Tags

CCSS.HSF.BF.A.2

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.  (Hint:  Simplify your equation.)

• a_n = 4n + 29
• a_n = -4n + 25
• a_n = -4n + 29
• a_n = 4n + 25

Tags

CCSS.HSF.BF.A.2

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n=2+6n
• a_n=-6+6n
• a_n=6n-4
• a_n=4-6n

Tags

CCSS.HSF.BF.A.2