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

Given the sequence 1,-3,-9,-17,-27,..., which of the following functions correctly describes it? Assume that n∈ℕ.
  1. t(1)=1,t(2)=-3;  t(n)=t(n-1)-6t(n-2),n>2
  2. t(1)=1;  t(n)=t(n-1)-4, n>1
  3. t(1)=1;  t(n)=t(n-1)-2n, n>1
  4. t(1)=1;  t(n)=(-1)n-1⋅3⋅t(n-1),n>1