Geometric and Arithmetic Sequences

Create the explicit formula for the sequence:

2, 8, 14, ...

• a_n = 2 + 6n

• a_n = -6 + 6n

• a_n = 6n - 4

• a_n = 4 - 6n

Tags

CCSS.HSF.BF.A.2

If an arithmetic sequence is graphed, which of the following will best model the shape of the graph?

• Linear

• Exponential

• Quadratic

Find the next three terms: 4, 12, 36, 108, ...

• 324, 972, 2916

• 972, 2916, 8748

• 405, 1215, 3645

Tags

CCSS.HSF.BF.A.2

What are the next 3 terms in this sequence of terms?     3, 7, 11, 15

• 18, 22, 26

• 19, 21, 23

• 19, 23, 27

• 18, 21, 24

Tags

CCSS.HSF.BF.A.2

Find the EXPLICIT arithmetic sequence formula for the following data set: 2, 4, 6, 8...

• 2n

• 2n - 2

• 2n + 4

• 4n

Tags

CCSS.HSF.BF.A.2

When the terms of a sequence differ by the same non zero  number it is called what kind of sequence?

• Algebraic

• Neither

• Geometric

• Arithmetic

Tags

CCSS.HSF.BF.A.2

Find the 16th term.

• 16

• 31

• 25

• 35

Tags

CCSS.HSF.BF.A.2

Find the 22nd term. a₁=10, d=5

• 115

• 200

• 10

• 220

Tags

CCSS.HSF.BF.A.2

What is the common ratio for the sequence:
28, 14, 7, 3.5...

• 2

• 1/2

• -14

• -7

Tags

CCSS.HSF.BF.A.2

Given the sequence:
125, 25, 5, ....
Write the explicit rule:

•  y = (125)(5)^(x)

•  y = 125(1/5)^(x)

•  y = 625(5)^(x)

•  y = 125 + 5x

Tags

CCSS.HSF.LE.A.2