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Sequences and Series Questions - All Grades

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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 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 11 Sequences and Series CCSS: HSA-SSE.B.4
Find the sum of the finite geometric series.
1+4+16+64+...+49
  1. 516
  2. 2,073.3
  3. 25,347
  4. 349,525
  5. None of these are correct
Grade 9 Sequences and Series
The difference between any two consecutive terms in an arithmetic sequence.
  1. Repetitive Change
  2. Common Difference
  3. Sequence
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 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 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-BF.A.2
Given the arithmetic sequence defined by a1=-10;  an=an-1+10, n>1, what is the explicit form of this sequence?
  1. an=10n
  2. an=-10+10n
  3. an=10-10n
  4. an=-20+10n
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 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 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
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