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

Given the sequence 1,4,16,64,256,..., which of the following correctly defines this sequence in a recursive form? Assume that n∈ℕ.
  1. t(1)=1;  t(n)=4t(n-1), n>1
  2. t(1)=4;  t(n)=4t(n-1), n>1
  3. t(1)=1;  t(n)=14t(n-1), n>1
  4. t(1)=1;  t(n)=22(n-1),n>1