Let Sn = bk. Use the definition of s6 and your work in part (b) to write out an unsimplified expression 2 2 2 7 8 e) i for s6. Then show how to simplify this sum to obtain s6 = 2 + 2 k=1 f) Look for the pattern in your work in part (e) and then use the pattern to write an explicit formula for sn. Make sure you show how you obtain this explicit formula from the definition of sn. Determine a function f(x) such that f(n) = Sn when n is a natural number.
Let Sn = bk. Use the definition of s6 and your work in part (b) to write out an unsimplified expression 2 2 2 7 8 e) i for s6. Then show how to simplify this sum to obtain s6 = 2 + 2 k=1 f) Look for the pattern in your work in part (e) and then use the pattern to write an explicit formula for sn. Make sure you show how you obtain this explicit formula from the definition of sn. Determine a function f(x) such that f(n) = Sn when n is a natural number.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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