1) = S(k) = S(k-1) + for all integers k2 2 The function f is defined recursively for all positive integers, as shown above. Which of the following is a closed-form expression of function f for all integers n2 1? O f(n) = 2" O f(n) : 2-1 %3D 2" 2" - 1 O S(m) = 2 2" O f(n) = =1 2" -

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 51E
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S(1)-
S(k) = S(k - 1) + *
for all integers k22
The function f is defined recursively for all positive integers, as shown above. Which of the following is a
closed-form expression of function f for all integers n2 1?
O f(n) =
2"
O s(n)
2-1
2"
2" - 1
O (n) =
2"
2"
O s(n) =
2" -1
Transcribed Image Text:S(1)- S(k) = S(k - 1) + * for all integers k22 The function f is defined recursively for all positive integers, as shown above. Which of the following is a closed-form expression of function f for all integers n2 1? O f(n) = 2" O s(n) 2-1 2" 2" - 1 O (n) = 2" 2" O s(n) = 2" -1
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