Consider the sequence : 5,9,13,17,21,... with a0= 5 a) Write a recurrence relation for this sequence b) Give a closed-form expression for it. c) Evaluate the sum 5+9+13+...+533. Show your work. d) Repeat steps (a) and (b) for the sequence: 5,15,45,135,... with a0=5 e) Evaluate the sum 5+15+45+135+... + 32805
Consider the sequence : 5,9,13,17,21,... with a0= 5 a) Write a recurrence relation for this sequence b) Give a closed-form expression for it. c) Evaluate the sum 5+9+13+...+533. Show your work. d) Repeat steps (a) and (b) for the sequence: 5,15,45,135,... with a0=5 e) Evaluate the sum 5+15+45+135+... + 32805
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 45E
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Consider the sequence :
5,9,13,17,21,... with a0= 5
a) Write a recurrence relation for this sequence
b) Give a closed-form expression for it.
c) Evaluate the sum 5+9+13+...+533. Show your work.
d) Repeat steps (a) and (b) for the sequence:
5,15,45,135,... with a0=5
e) Evaluate the sum 5+15+45+135+... + 32805
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