Geometric and Arithmetic Sequences

What is a₅ in the sequence defined as follows?
a_n = 5 ⋅ 2^(n-1) 

• a₅ = 160

• a₅ = 40

• a₅ = 10

• a₅ = 80

Tags

CCSS.HSF.BF.A.2

What is the 8th term in the sequence below?
3, 9, 27, 81, ...

• 19,683

• 6,561

• 2,187

• 729

Tags

CCSS.HSF.BF.A.2

What is the 38th term of this sequence?
{26, 22, 18, 14, ... }

• -4

• 10

• -122

• 174

Tags

CCSS.HSF.BF.A.2

Create the formula for the geometric sequence:
1, 4, 16, 64...

• a_n = 3^n-1

• a_n = 2^n-1

• a_n = 5^n-1

• a_n = 4^n-1

Tags

CCSS.HSF.BF.A.2

Create the formula for the geometric sequence:
-2, 10, -50, 250...

• a_n = 2(-5)^n-1

• a_n = -2(-5)^n-1

• a_n = -2(5)^n-1

• a_n = 2(5)^n-1

Tags

CCSS.HSF.BF.A.2

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

• Arithmetic

• Geometric

• Neither

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

Find the first term of the given sequence:
a₁₄=68
d=3

• 14

• 20

• 26

• 29

Tags

CCSS.HSF.BF.A.2

Is this sequence Arithmetic, Geometric, or Neither?
{14, 22, 30, 38, .. }

• Arithmetic

• Geometric

• Neither

Tags

CCSS.HSF.BF.A.2

Create the formula for the arithmetic sequence:
6, 11, 16, 21...

• a_n = -1-5n

• a_n = -1+5n

• a_n= 1+5n

• a_n = 1-5n

Tags

CCSS.HSF.BF.A.2