Q. 55 In the following exercise, expan... [FREE SOLUTION]

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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 12: Q. 55 (page 1174)

In the following exercise, expand the partial sum and find its value
${鈭�}_{k = 0}^{3} \frac{4}{k!}$

Short Answer

Expert verified

Hence,

${鈭�}_{k = 0}^{3} \frac{4}{k!} = 4 + 4 + 2 + \frac{2}{3} = \frac{32}{3}$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thepartialsumisgivenas \\ {鈭�}_{k = 0}^{3} \frac{4}{k!} \\ Wehavetoexpandandfindthevalueofthepartialsum. \end{array}$

Step 2. Expanding the partial sum

$\begin{array}{l} Wesubstitutethevalues 0, 1, 2, 3 inorder \\ 鈬� {鈭�}_{k = 0}^{3} \frac{4}{k!} = \frac{4}{0!} + \frac{4}{1!} + \frac{4}{2!} + \frac{4}{3!} \\ = \frac{4}{1} + \frac{4}{1} + \frac{4}{2 脳 1} + \frac{4}{3 脳 2 脳 1} [鈭� n! = n (n 鈭� 1) (n 鈭� 2) (n 鈭� 3) ...] \\ = 4 + 4 + 2 + \frac{2}{3} \end{array}$

Step 3. Calculating the sum

$\begin{array}{l} 鈬� {鈭�}_{k = 0}^{3} \frac{4}{k!} = 4 + 4 + 2 + \frac{2}{3} \\ = 10 + \frac{2}{3} \\ = \frac{10 鈰� 3 + 2}{3} \\ = \frac{30 + 2}{3} \\ = \frac{32}{3} \end{array}$

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91影视

In the following exercise, expand the partial sum and find its value
${鈭�}_{k = 0}^{3} \frac{4}{k!}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Expanding the partial sum

Step 3. Calculating the sum

One App. One Place for Learning.

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91影视

In the following exercise, expand the partial sum and find its value 鈭�k=034k!

Short Answer

Step by step solution

Step 1. Given information

Step 2. Expanding the partial sum

Step 3. Calculating the sum

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

In the following exercise, expand the partial sum and find its value
${鈭�}_{k = 0}^{3} \frac{4}{k!}$