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Tenth Grade (Grade 10) Sequences and Series Questions

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Grade 10 Sequences and Series CCSS: HSF-IF.A.3
Determine d for the following sequence: 4,7,10,13,16....
  1. 3
  2. 4
  3. 16
  4. 1
  5. none of these are correct
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
Determine the 20th term for the following sequence: 1,8,15,22,29...
  1. 79
  2. 325
  3. 57
  4. 215
  5. none of these are correct
Grade 10 Sequences and Series
A sequence is considered                           when the difference between terms is constant.
  1. geometric
  2. smooth
  3. arithmetic
  4. converging
  5. none of these are correct
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
Match the function to its corresponding sequence:
__ f(n)=6+3n2 A. 3,9,25,65,161...
__ f(n)=n3-5 B. 9,18,33,54,81...
__ f(n)=12n+7 C. 7.5,8,8.5,9,9.5...
__ f(n)=(2x)⋅x+1 D. -4,3,22,59,120...
Grade 10 Sequences and Series
Is the following sequence arithmetic? If so, find d.

100, 75, 50, 25, ...
  1. no
  2. yes; d = -25
  3. yes; d = 25
  4. both b and c
  5. none of these are correct
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
Given the recursive function f(1)=3;  f(n)=2⋅f(n-1),n≥2 for a geometric sequence, which of the following functions describes the same geometric sequence?
  1. f(n)=3⋅2n-1,n≥2
  2. f(n)=3⋅2n-1,n≥1
  3. f(n)=3⋅2n,n≥1
  4. f(n)=3⋅2n,n≥2
Grade 10 Sequences and Series
Classify the following sequence. 1,12,13,14,....
  1. Arithmetic
  2. Geometric
  3. Neither
Grade 10 Sequences and Series
Predict the 9th term in the sequence. A, D, G, J...
  1. Z
  2. Y
  3. X
  4. W
Grade 10 Sequences and Series CCSS: HSF-BF.A.2
Given the geometric sequence defined by an=18⋅8n, what is the recursive form of this sequence?
  1. a1=1;  an=8an-1, n>1
  2. a1=18;  an=8an-1, n>1
  3. a1=8;  an=8an-1, n>1
  4. a1=8;  an=18an-1, n>1
Grade 10 Sequences and Series CCSS: HSF-BF.A.2
For the geometric sequence defined by an=14⋅(43)n, what is the recursive form of the this sequence?
  1. a1=1;  an=43an-1, n>1
  2. a1=14;  an=13an-1, n>1
  3. a1=14;  an=43an-1, n>1
  4. a1=13;  an=43an-1, n>1
Grade 10 Sequences and Series CCSS: HSF-BF.A.2
What is the recursive form of the the geometric sequence defined by an=-5⋅3n-1?
  1. a1=-5;  an=3an-1, n>1
  2. a1=-15;  an=3an-1, n>1
  3. a1=3;  an=-5an-1, n>1
  4. a1=1;  an=5an-1, n>1
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
A given arithmetic sequence is described by the function f(1)=-8;  f(n)=f(n-1)+4,n≥2. Does the function f(1)=-8;f(n)=f(n-2)+8,n≥3 describe the same sequence? If not, why?
  1. Yes, these are the same sequences.
  2. No, the second sequence doesn't define its second term, and therefore isn't complete.
  3. No, they have different recursive relationships.
  4. No, they have different domains.
Grade 10 Sequences and Series CCSS: HSF-BF.A.2
For the geometric sequence defined by a1=80;  an=12an-1,n>1, what is the explicit form of this sequence?
  1. an=80(12)n
  2. an=80(12)n-1
  3. an=80⋅2n-1
  4. a1=1⋅(12)n
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