Arithmetic and Geometric Sequences

Find the eighth term:

3, 6, 12, 24, ...

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

What is a₅ for the sequence below?

a_n = 5 ⋅ 2^(n-1) 

• a₅ = 160
• a₅ = 40
• a₅ = 10
• a₅ = 80

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Which sequence is a geometric sequence with a common ratio of 2?

• 5, 3, 1, -1, ...

• 5, 7, 9, 11, ...

• 5, 10, 20, 40, ...

• 5, 15, 45, 135, ...

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.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

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Find the explicit formula:

3, 6, 12, 24, ...

• aₙ = 6⋅(½)ⁿ ⁻ ¹

• aₙ = 6⋅(½)ⁿ

• aₙ = 3⋅2ⁿ ⁻ ¹

• aₙ = 3⋅2ⁿ

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Which kind of sequence has a common difference?

• Arithmetic
• Geometric

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

• A geometric sequence with a common difference of 3.

• An arithmetic sequence with a common difference of 3.

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Find the explicit formula:

8, 14, 20, 26, ...

• aₙ = 6n + 2

• aₙ = 8n + 6

• aₙ = 2n + 6

• aₙ = 6n + 8

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

The first three terms of an a sequence are 3, 11, and 19. Which formula represents the sequence?

• a_n = 8 + 3(n-1)

• a_n = 8(3)^n-1

• a_n = 3 + 8(n-1)

• a_n = 3 + 8n

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

What is the explicit rule for the sequence? 11, 22, 44, 88...

• a_n = 2(11)^n-1

• a_n = 11(2)

• a_n = 11(2)^n-1

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2