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Sequences and Series Questions - All Grades

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Grade 9 Sequences and Series CCSS: HSF-BF.A.2
For the sequence defined by an=2n, how could the same sequence be written recursively? There may be more than one answer.
  1. a1=2;  an=an-1+2, n>1
  2. a1=0;  an=an-1+2, n>1
  3. a1=0,a2=2;  an=an-2+2, n>2
  4. a1=2,a2=4;  an=an-2+4, n>2
Grade 10 Sequences and Series CCSS: HSF-BF.A.1, HSF-BF.A.1a, HSF-BF.A.2, HSF-LE.A.2
Given the sequence 1,4,16,64,256,..., which of the following correctly defines this sequence in a recursive form? Assume that n∈ℕ.
  1. t(1)=1;  t(n)=4t(n-1), n>1
  2. t(1)=4;  t(n)=4t(n-1), n>1
  3. t(1)=1;  t(n)=14t(n-1), n>1
  4. t(1)=1;  t(n)=22(n-1),n>1
Grade 9 Sequences and Series
The terms of a sequence differ by the same nonzero number.
  1. Pattern
  2. Common Difference
  3. Arithmetic Sequence
Grade 9 Sequences and Series
1 , 11 , 111 , 1111 ,                 ,                
  1. Arithmetic
  2. Geometric
  3. Neither
Grade 11 Sequences and Series CCSS: HSF-IF.A.3
Find the next three terms in this sequence: 5120, 1280, 320, 80...
  1. -160, -400, -640
  2. 20, 5, 1.25
  3. 40, 20, 10
  4. 76, 72, 68
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
Find the sum of the first 50 terms in the sequence 2, 6, 10, 14...
  1. 5000
  2. 198
  3. 2500
  4. 500
Grade 9 Sequences and Series CCSS: HSF-BF.A.2
Which of the following is the recursive formula for the arithmetic sequence 15, 11, 7, 3, ... ?
  1. a1=15;an=4n-1
  2. a1=15;an=an-1-4
  3. a1=3;an=an-1+4
  4. a1=3;an=15n-1
Grade 9 Sequences and Series CCSS: HSF-BF.A.2
What is the recursive form of the sequence given by an=33-4n?
  1. a1=33;  an=an-1-4, n>1
  2. a1=-4;  an=an-1+1, n>1
  3. a1=29;  an=an-1-4, n>1
  4. a1=33;  an=an-1-4n, n>1
Grade 9 Sequences and Series CCSS: HSF-BF.A.2
Which of the following is the explicit formula for the geometric sequence 2, 6, 18, 54, ... ?
  1. an=3⋅2n-1
  2. an=2⋅3n-1
  3. a1=2;an=3⋅an-1
  4. a1=3;an=2⋅an-1
Grade 11 Sequences and Series CCSS: HSF-IF.A.3
If a1=100 and r=12, find the 5th term of this geometric sequence.
  1. 1
  2. 1600
  3. 614
  4. 10,000
  5. none of these are correct
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