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Type: Multiple-Choice
Category: Sequences and Series
Level: Grade 10
Standards: HSF-BF.A.1, HSF-BF.A.1a, HSF-LE.A.2
Author: nsharp1
Created: 5 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-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