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Ninth Grade (Grade 9) Sequences and Series Questions

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Grade 9 Sequences and Series CCSS: HSF-BF.A.2
Given the explicit form of the arithmetic sequence an=-2+7n, which of the following is the recursive formula for the same sequence?
  1. a1=5;  an=an-1+7, n>1
  2. a1=5;  an=an-1-2, n>1
  3. a1=-2;  an=an-1+7, n>1
  4. a1=-2;  an=an-1-2,n>1
Grade 9 Sequences and Series
Grade 9 Sequences and Series
Each number in a sequence.
  1. Sequence
  2. Term
  3. Arithmetic Sequence
Grade 9 Sequences and Series CCSS: HSF-BF.A.2
For the sequence defined by a1=3;  an=an-1+5, n>1, what is its explicit form?
  1. an=3-5n
  2. an=-2+5n
  3. an=5-3n
  4. an=1-2n
Grade 9 Sequences and Series CCSS: HSF-BF.A.2
Grade 9 Sequences and Series CCSS: HSF-BF.A.2
Which of the following is the explicit formula for the arithmetic sequence -1, 1, 3, 5, ... ?
  1. an=-1+(n-1)2
  2. an=-1(2)n-1
  3. a1=-1;an=an-1+2
  4. an=2+(n-1)(-1)
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 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
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=32n-1
  2. an=23n-1
  3. a1=2;an=3an-1
  4. a1=3;an=2an-1
Grade 9 Sequences and Series CCSS: HSF-BF.A.2
For the sequence defined by the explicit formula an=7+3n, what is the the recursive formula for this sequence?
  1. a1=7;  an=an-1+3, n>1
  2. a1=10;  an=an-1+3, n>1
  3. a1=3;  an=an-1+7, n>1
  4. a1=1;  an=an-1+7, n>1
Grade 9 Sequences and Series
Grade 9 Sequences and Series CCSS: HSF-IF.A.3
Find the next three terms for the sequence. 14,34,54,74,94,...
  1. 114, 134, 154
  2. 188, 208, 228
  3. 104, 124, 144
  4. 84, 104, 124
Grade 9 Sequences and Series CCSS: HSF-BF.A.2
Grade 9 Sequences and Series CCSS: HSF-BF.A.2
What is the recursive form of the sequence an=16-20n?
  1. a1=-20;  an=an-1+16, n>1
  2. a1=16;  an=an-1-20, n>1
  3. a1=-4;  an=an-1+16, n>1
  4. a1=-4;  an=an-1-20, n>1
Grade 9 Sequences and Series CCSS: HSF-BF.A.2
Find the explicit formula of the sequence defined by a1=85;  an=an-1-15, n>1.
  1. an=85-15n
  2. an=-15+100n
  3. an=100-15n
  4. an=85-100n
Grade 9 Sequences and Series CCSS: HSF-BF.A.2
What is the explicit form of the sequence defined by a1=0;  an=an-1+3, n>1?
  1. an=3+3n
  2. an=3n
  3. an=-3+n
  4. an=-3+3n
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