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Common Core Standard HSF-IF.A.3 Questions

Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n-1) for n ≥ 1.

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Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What is the equation of the line that is parallel to the line y = -2x + 3 and passes through the point (1,2)?
  1. y = -2x + 5
  2. y = -2x + 1
  3. y = 2x + 5
  4. y = 2x + 1
Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What is the domain of the function f(x)=x2+1?
  1. All real numbers
  2. All positive real numbers
  3. All negative real numbers
  4. All non-negative real numbers
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
Find the tenth term of the geometric sequence if the first term is 5 and the common ratio is 2.
  1. 1,000,000
  2. 1,000,000,000
  3. 2,560
  4. 25,6000
Grade 9 Sequences and Series CCSS: HSF-IF.A.3
In the following sequence, what is the common difference? -2, 1, 4, 7, ...
  1. -2
  2. 3
  3. 7
  4. None of the above
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
What is the nth term of the arithmetic progression, -3,-8,-13,...?
  1. 2+5n
  2. 8+5n
  3. 2-5n
  4. 8-5n
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
What function expresses the sequence 3,24,243,3072,46875...?
  1. f(x)=(n+1)n⋅3
  2. f(x)=2xx-12
  3. f(x)=-4+5x+1
  4. f(x)=2xx+13
Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What is the equation of the parabola with vertex at (0, 2) and x-intercepts at (-3, 0) and (3, 0)?
  1. y = (x + 3)(x - 3)
  2. y = -(x + 3)(x - 3)
  3. y=(x+3)2
  4. y=-(x+3)2
Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What is the inverse of the function f(x) = 2x + 1?
  1. f-1(x)=x-12
  2. f-1(x)=2x+1
  3. f-1(x)=x2+1
  4. f-1(x)=x+12
Grade 9 Sequences and Series CCSS: HSF-IF.A.3
In the following sequence, what is the common difference? 3, 10, 17, 23, ...
  1. 3
  2. 23
  3. 7
  4. None of the above
Grade 10 Sequences and Series CCSS: HSF-IF.A.3, HSF-BF.A.2, HSF-LE.A.2
Which formula represents the general term of the following sequence? 12,-1,2,-4,...
  1. an=12⋅2n
  2. an=12⋅(-2)⋅(n-1)
  3. an=12⋅-2n-1
  4. an=12⋅(-2)n-1
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
What are the next 2 numbers in the sequence 1,5,9...?
  1. 45,225
  2. 14,18
  3. 13,17
  4. 32,128
Grade 10 Functions and Relations CCSS: HSF-IF.A.3
The third, fourth, and fifth numbers in a sequence are 16,22,28. Which function describes the sequence?
  1. f(n)=6n+16
  2. f(n)=6n-2
  3. f(x)=3x+12
  4. f(x)=12x+6
Grade 10 Functions and Relations CCSS: HSF-IF.A.3
Which function describes the sequence 3,7,11...?
  1. f(n)=4n-1
  2. f(n)=3+2n
  3. f(x)=2n-3
  4. f(n)=4x-1
Grade 10 Sequences and Series CCSS: HSF-IF.A.3, HSF-BF.A.2, HSF-LE.A.2
What is the recursive function of the geometric sequence 3, 4.5, 6.75...?
  1. f(n)=1.5f(n-1) where f(1)=3
  2. f(n)=3×1.5n-1
  3. f(n)=1.5×3n-1
  4. f(n)=3f(n-1) where f(1)=1.5
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
What are the fifth and seventh numbers in the sequence 1,6,36...?
  1. 216,7776
  2. 216,1296
  3. 7776,46656
  4. 1296,46656
Grade 10 Sequences and Series CCSS: HSF-IF.A.3, HSF-BF.A.2, HSF-LE.A.2
What is the explicit function of the geometric sequence 3, 4.5, 6.75, ...?
  1. f(n)=1.5f(n-1) where f(1)=3
  2. f(n)=3⋅1.5n-1
  3. f(n)=1.5⋅3n-1
  4. f(n)=3f(n-1) where f(1)=1.5
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
What is the 61st number in the sequence -3,0,3...?
  1. 366
  2. 363
  3. 177
  4. 183
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
Find the 100th term in the sequence: -3, -5, -7, -9, ...
  1. 195
  2. -201
  3. 201
  4. -195
Grade 11 Sequences and Series CCSS: HSF-IF.A.3, HSF-BF.A.2, HSF-LE.A.2
What is tn for the sequence 14/3, 16/3, 6, 20/3, 22/3, ...?
  1. tn=23n+113
  2. tn=23n+4
  3. tn=23n+123
  4. tn=23n+6
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