Algebra 2 Homework - March 1, 2023

Write the recursive formula for 6, 17, 28, 39, 50....

• a_n=a_n-1+11
  a₁=6
• a_n=a_n-1-4
  a₁=6
• a_n=a_n-1+9
  a₁=6
• a_n=a_n-1+6
  a₁=6

Tags

CCSS.HSF.BF.A.2

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

• -16, -21, -26, -31
• 5, -11, -27, -43
• -16, -80, -500, -200
• -16, -11, -6, -1

Tags

CCSS.HSF.BF.A.2

Which of the following recursive formulas represents the given sequence.

7, 14, 28, 56, 112, ...

Tags

CCSS.HSF.IF.A.3

Does this recursive routine model growth or decay, and by what percent?
U₁ = 10
U_n+1 = U_n*.75

• Growth, 75%
• Growth, 25%
• Decay, 75%
• Decay, 25%

Tags

CCSS.HSF.BF.A.2

Write a recursive rule for the sequence a_n = 17 + (n-1)(-16)

• a₁ = 17
  a_n = a_n-1 + 16
• a₁ = 17
  a_n = a_n-1 - 17
• a₁ = 17
  a_n = a_n-1 - 15
• a₁ = 17
  a_n = a_n-1 - 16

Tags

CCSS.HSF.IF.A.3

Find the first four terms of the sequence.

a_n= 3(4)ⁿ

• 12, 48, 192, 768

• 12, 144, 1728, 20736

• 12, 24, 36, 48

• 3, 12, 48, 192

Tags

CCSS.HSF.BF.A.2

If x+4, 2x+5, and 4x+3 represent the first three terms of an arithmetic sequence, then find the value of x.

• 2

• 3

• 4

• 5

Tags

CCSS.HSF.BF.A.2

If x+4, 2x+5, and 4x+3 represent the first three terms of an arithmetic sequence, what is the 100th term?

• 389

• 396

• 403

• 410

Tags

CCSS.HSF.BF.A.2

The first term of an arithmetic sequence whose common difference is 7 and whose 22nd term is 143 is which of the following?

• -25

• -4

• 7

• 28

Tags

CCSS.HSF.BF.A.2

• 137

• 144

• 151

• 158

Tags

CCSS.HSF.BF.A.2