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Sequences and Series Questions - All Grades

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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 9 Sequences and Series
64 , 48 , 36 , 27 ,                 ,                
  1. Arithmetic
  2. Geometric
  3. Neither
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 11 Sequences and Series CCSS: HSA-SSE.B.4

This question is a part of a group with common instructions. View group »

Which of the following best explains how one arrives at the equation in step 5?
  1. By stating the definition of a finite geometric sequence.
  2. Subtract (1-r) from both sides of the equation in step 4, and then factor out common factors on the left hand side of the resulting equation.
  3. Factor (1-r) from both sides of the equation in step 4.
  4. Divide both sides of the equation in step 4 by (1-r).
Grade 10 Sequences and Series
Classify the following sequence. 1,12,13,14,....
  1. Arithmetic
  2. Geometric
  3. Neither
Grade 11 Sequences and Series CCSS: HSA-SSE.B.4
What is the sum of the first 7 numbers in the series 5+25+125+625+...?
  1. 19,531
  2. 9.77×105
  3. 97,655
  4. 78,125
Grade 11 Sequences and Series CCSS: HSA-SSE.B.4
What is the sum of the first 6 numbers in the series 512+2048+8192+...?
  1. 1.8×1016
  2. 698,880
  3. 2,096,640
  4. 32,256
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
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 9 Sequences and Series CCSS: HSF-IF.A.3
Find the 20th term of the sequence: 3, 8, 13, 18,...
  1. 95
  2. 96
  3. 97
  4. 98
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