Algebraic Sequences and Polynomials

What is the fifth term of the geometric sequence?

5, 15, 45,...

• 135

• 1875

• 1215

• 405

Find the common ratio for the geometric sequence.

• -4
• 4
• 1/4
• -1/4

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the following geometric sequence:

10, 20, 40, 80, ...

• a_n = 10(2)^n-1

• a_n = 2(10)^n-1

• a_n = 10(2)ⁿ

• a_n = 2(10)ⁿ

Which sequence is represented by the equation 2(7)^n-1 ?

• 7, 14, 28, 56...
• 2, 14, 98, 686...
• 2, 9, 16, 23...
• 7,9,11,13...

Tags

CCSS.HSF.BF.A.2

Which sequence is NOT an arithmetic sequence?

• -7, -13, -19, -25,...

• -10, -6, -2, 2,..

• 6, 8, 10, 12,...

• 3, 15, 75, 375,...

Tags

CCSS.HSF.BF.A.2

Which polynomial is written in standard form?

• -3x + 8x² + 9x³ - 11
• 9x³ + 8x² - 3x - 11
• 8x² + 9x³ -11 - 3x
• -11 - 3x + 8x² + 9x³

Add the following polynomials:
(6n² - 7n⁴+8) +  (6 + 8n + 4n⁴)

• -3n⁴+ 6n²+8n+14
• -n⁴-2n²+8n+7
• -n⁴ + 6n²+8n+7
• -3n⁴+ 6n²+8n+7

Subtract the following polynomials:
(7p + 4p³ - 8) - (-3p² + 2 - 9p)

• -3p² + 4p³ -15 + 9
• 3p³ + 4p² - p + 3
• 4p³ +3p² +16p -10
• 4p³ +3p² + 16p + 10

What is the CONSTANT of this polynomial?

2x³ - 8x² + 3x - 7

• 2

• -8

• 3

• -7

Put this in Standard Form.
u³ + 3u² - 4u + 2

• 3u² + u³  - 4u + 2
•  - 4u + 3u² + 2 + u³
• 3u² + u³ + 4u + 2
• It's already in Standard Form