(6) Let n E N and let n n n S₂ = Σk², S₁ = Σk, and So = Σ1. s k=1 k=1 k=1 Use a suitable telescopic sum to find a simpler expression for S₂. You may use without proof the fact that S₁ n(n+1) 2 and So = n.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 26RE
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(6) Let n E N and let
n
n
S2
S₂ = Σk², S₁ = Σk, and So = 1.
k=1
k=1
k=1
Use a suitable telescopic sum to find a simpler expression for S₂. You may use
without proof the fact that
S₁
=
n(n + 1)
2
and So
n
= n.
Transcribed Image Text:(6) Let n E N and let n n S2 S₂ = Σk², S₁ = Σk, and So = 1. k=1 k=1 k=1 Use a suitable telescopic sum to find a simpler expression for S₂. You may use without proof the fact that S₁ = n(n + 1) 2 and So n = n.
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