Use the properties of summation and the Summation Formulas Theorem to evaluate the sum. Use the summation capabilities of a graphing utility to verify your result. 5i 1= 1 Step 1 To evaluate the sum Si, the following property of summation can be used to find the sum. |= 1 =1 Using the above property, si = 55 1=1 1= 1 Step 2 Use the Summation Formulas Theorem to find 5 Recall that Theorem 5.2 states the following. n(n + 1) Σ 1%3D1 Step 3 Replace n by in the formula to evaluate 5 and simplify. + 1)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 39E
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Use the properties of summation and the Summation Formulas Theorem to evaluate the sum. Use the summation capabilities of a graphing utility to verify your result.
5i
I=1
Step 1
To evaluate the sum
S, the following property of summation can be used to find the sum.
I= 1
1= 1
Using the above property,
5i =
Step 2
Use the Summation Formulas Theorem to find 5
Recall that Theorem 5.2 states the following.
n(n + 1)
Step 3
Replace n by
in the formula to evaluate 5
and simplify
+ 1)
Transcribed Image Text:Use the properties of summation and the Summation Formulas Theorem to evaluate the sum. Use the summation capabilities of a graphing utility to verify your result. 5i I=1 Step 1 To evaluate the sum S, the following property of summation can be used to find the sum. I= 1 1= 1 Using the above property, 5i = Step 2 Use the Summation Formulas Theorem to find 5 Recall that Theorem 5.2 states the following. n(n + 1) Step 3 Replace n by in the formula to evaluate 5 and simplify + 1)
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