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Type: Multiple-Choice
Category: Sequences and Series
Level: Grade 10
Standards: HSF-BF.A.1, HSF-BF.A.1a, HSF-BF.A.2, HSF-LE.A.2
Author: nsharp1
Last Modified: 4 years ago

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Sequences and Series Question

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Grade 10 Sequences and Series CCSS: HSF-BF.A.1, HSF-BF.A.1a, HSF-BF.A.2, HSF-LE.A.2

Which of the following functions correctly describe(s) the sequence 3,5,7,9,11,...? Assume that n∈ℕ. There may be more than one correct answer.
  1. t(1)=3;  t(n)=t(n-1)+2, n>1
  2. t(1)=3, t(2)=5;  t(n)=t(n-2)+4,n>2
  3. t(1)=3, t(2)=5;  t(n)=-t(n-1)+2t(n-2)+6, n>2
  4. t(1)=3;  t(n+1)=t(n)+2, n≥1