Modeling Exponential Functions, Comparing Functions, Sequences

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

Write a recursive rule for the sequence 17, 1, -15, -31 . . .

• 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
  a₁=17

Tags

CCSS.HSF.IF.A.3

Find the 4th term for the sequence defined by a₁=9; a_n=a_n-1+8

• 35
• 17
• 41
• 33

Tags

CCSS.HSF.BF.A.2

Identify whether the following sequence is Arithmetic or Geometric and identify the common ratio or difference:
97, 86, 75, 64, ...

• Arithmetic
  Common Difference: 8
• Geometric
  Common Ratio: -11
• Arithmetic
  Common Difference: -11
• Geometric
  Common Ratio: -8

Tags

CCSS.HSF.BF.A.2

What is the explicit formula that represents this sequence:
2, 8, 14, ...

• a_n = 2(6)^n-1
  a₁=2
  
• a_n = 2 + 6(n-1)
• a_n = a_n-1 + 6
  a₁ = 2
• a_n = 6*a_(n-1)
  a₁ = 2
  

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

Is the equation y=3^x linear, quadratic, or exponential?

• linear
• exponential
• quadratic

Tags

CCSS.HSF.LE.A.1

Is the sequence geometric or arithmetic?
3, 6, 9, 12...

• Arithmetic
• Geometric
• Neither

Is the sequence geometric or arithmetic?
6, 18, 54...

• Arithmetic
• Geometric
• Neither

What is the recursive rule for the sequence:
11, 22, 44, 88...
f(1)=11,

• f(n) = 2(11)^n-1
• f(n) = 11(2)ⁿ
• f(n) = 11(2)^f(n-1)
• f(n) = 2f(n-1)

Tags

CCSS.HSF.IF.A.3