Exercises Find f(1), (2), (3), (4), and f(5) if f(n) is defined recursively by f(0) = 3 and for n = 0, 1, 2, ... a) f(n+1)=-2f(n). b) f(n+1)=3f(n) +7. c) f(n+1)= f(n)² - 2f(n)-2. d) f(n+1)=3(n)/3 Give a recursive definition of the sequence (an). n = 1. 2. 3... if a) a = 6n. c) a₁ = 10". an b) a =2n+1. d) a,, = 5. 6.10

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 16E
Question
Exercises
Find f(1), (2), (3), (4), and f(5) if f(n) is defined
recursively by f(0) = 3 and for n = 0, 1, 2, ...
a) f(n+1)=-2f(n).
b) f(n+1)=3f(n) +7.
c) f(n+1)= f(n)² - 2f(n)-2.
d) f(n+1)=3(n)/3
Give a recursive definition of the sequence (an).
n = 1. 2. 3... if
a) a = 6n.
c) a₁ = 10".
an
b) a =2n+1.
d) a,, = 5.
6.10
Transcribed Image Text:Exercises Find f(1), (2), (3), (4), and f(5) if f(n) is defined recursively by f(0) = 3 and for n = 0, 1, 2, ... a) f(n+1)=-2f(n). b) f(n+1)=3f(n) +7. c) f(n+1)= f(n)² - 2f(n)-2. d) f(n+1)=3(n)/3 Give a recursive definition of the sequence (an). n = 1. 2. 3... if a) a = 6n. c) a₁ = 10". an b) a =2n+1. d) a,, = 5. 6.10
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