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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
Author: nsharp1
Created: 5 years ago

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

Given the sequence defined by a(n)=3+5⋅2n, n∈ℕ,n≥1, which of the following recursive formulas defines the same sequence? Assume for all sequences that n∈ℕ.
  1. t(1)=13;  t(n)=3+5⋅2n-1,n>1
  2. t(1)=13;  t(n)=2t(n-1), n>1
  3. t(1)=13;  t(n)=13+t(n-1), n>1
  4. t(1)=13;  t(n)=-3+2t(n-1), n>1