Use the summation notation to rewrite the following expression. 6 (1³ – 6) − (2³ − 6) + (3³ – 6) − (4³ − 6) + (5³ − 6) -(6³-6) = | - - - k = 1
Use the summation notation to rewrite the following expression. 6 (1³ – 6) − (2³ − 6) + (3³ – 6) − (4³ − 6) + (5³ − 6) -(6³-6) = | - - - k = 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Task:** Use the summation notation to rewrite the following expression.
\[
(1^3 - 6) - (2^3 - 6) + (3^3 - 6) - (4^3 - 6) + (5^3 - 6) - (6^3 - 6) = \sum_{k=1}^{6} \; \text{[Box]}
\]
**Instructions:** Fill the box with the appropriate expression to simplify the given equation using summation notation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa0e38307-1ade-44bc-b712-aaeda4c58098%2Fd5791424-5603-4781-9416-8e59a10f5d61%2Fn70j01l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Task:** Use the summation notation to rewrite the following expression.
\[
(1^3 - 6) - (2^3 - 6) + (3^3 - 6) - (4^3 - 6) + (5^3 - 6) - (6^3 - 6) = \sum_{k=1}^{6} \; \text{[Box]}
\]
**Instructions:** Fill the box with the appropriate expression to simplify the given equation using summation notation.
Expert Solution
Step 1
The series is given in expanded form as
we have to find the general expression for this series.
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