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Tenth Grade (Grade 10) Sequences and Series Questions

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Grade 10 Sequences and Series CCSS: HSF-BF.A.2
Given the recursive form of the sequence a1=27;  an=3an-1, n>1, find the correct explicit form of this sequence.
  1. an=221⋅3n
  2. an=27⋅3n
  3. an=27⋅3n
  4. an=(67)n-1
Grade 10 Sequences and Series CCSS: HSF-BF.A.1, HSF-BF.A.1a, HSF-LE.A.2
Which of the following functions correctly describes the sequence 1,3,5,9,13,21,...? Assume that n∈ℕ.
  1. t(1)=1,t(2)=3;  t(n)=2t(n-2)+3,n>2
  2. t(1)=1;  t(n)=t(n-1)+2,n>1
  3. t(1)=1,t(2)=3;  t(n)=t(n-2)+t(n-1)+1,n>2
  4. t(1)=1;  t(n)=t(n-1)+2n-1, n>1
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
Which of the following functions express the sequence -12,-9,-6,-3,0...?
  1. f(x)=12x+10
  2. f(x)=-9x2
  3. f(x)=3x-15
  4. f(x)=45x-3
Grade 10 Sequences and Series
Determine the fourth term of the sequence defined by a1=20 and an=an-1n2.
  1. 80
  2. 20
  3. 5
  4. 1
  5. none of these are correct
Grade 10 Sequences and Series CCSS: HSF-BF.A.2
What is the recursive form of the sequence defined by a1=2;  an=5an-1, n>1?
  1. an=2⋅5n
  2. an=2⋅5n+1
  3. an=(25)⋅5n
  4. an=(25)⋅5n-1
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