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314 CHAPTER 10 SIGMA NOTATION (e) Write the sum of every 5th integer from a to a + 5k in sigma notation. (f) Give a formula for the sum that you wrote in (e).

314 CHAPTER 10 SIGMA NOTATION (e) Write the sum of every 5th integer from a to a + 5k in sigma notation. (f) Give a formula for the sum that you wrote in (e).

Advanced Engineering Mathematics
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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Please do part E and F and please show step by step and explain

Exercise 10.4.2. (a) Write the sum of odd integers from 2a + 1 to 2k + 1 in sigma notation. (Note that every odd number can be expressed as 2n + 1, where n is an integer.) (b) Give a formula for the sum that you wrote in (a). (Use the same rea- soning that we used to find sums of consecutive integers.) (c) Write the sum of even integers from 2a to 2k in sigma notation. (d) Give a formula for the sum that you wrote in (c). 314 CHAPTER 10 SIGMA NOTATION (e) Write the sum of every 5th integer from a to a + 5k in sigma notation. (f) Give a formula for the sum that you wrote in (e).
Transcribed Image Text:Exercise 10.4.2. (a) Write the sum of odd integers from 2a + 1 to 2k + 1 in sigma notation. (Note that every odd number can be expressed as 2n + 1, where n is an integer.) (b) Give a formula for the sum that you wrote in (a). (Use the same rea- soning that we used to find sums of consecutive integers.) (c) Write the sum of even integers from 2a to 2k in sigma notation. (d) Give a formula for the sum that you wrote in (c). 314 CHAPTER 10 SIGMA NOTATION (e) Write the sum of every 5th integer from a to a + 5k in sigma notation. (f) Give a formula for the sum that you wrote in (e).
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