3. Express the following sums using summation notation. (a) 32 + 42 + 52 + + 172. (b) 32 + 33 + 34 + (c) 3-2 +3-1 + 30 + 31 + 32 +…+317. + 317. (d) +++ 1 1 t 21 (e) The sum of the squares of the first 17 positive integers. (f) The sum of the cubes of the odd integers between 50 and 250.
3. Express the following sums using summation notation. (a) 32 + 42 + 52 + + 172. (b) 32 + 33 + 34 + (c) 3-2 +3-1 + 30 + 31 + 32 +…+317. + 317. (d) +++ 1 1 t 21 (e) The sum of the squares of the first 17 positive integers. (f) The sum of the cubes of the odd integers between 50 and 250.
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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![3. Express the following sums using summation notation.
(a) 32 + 42 + 52 + ...+ 172.
(b) 3² + 33 + 34 +
. ..+317.
(c) 3-2 + 3-1 + 30 + 31 + 32+...+ 317.
(d) +1 ++.+
3
4
5
21
(e) The sum of the squares of the first 17 positive integers.
The sum of the cubes of the odd integers between 50 and 250.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f342c96-a5f9-4223-96f9-f935adc6156a%2Fba7839ef-df3d-4cd0-988c-aea3bf8a8056%2Fdsn3fsc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Express the following sums using summation notation.
(a) 32 + 42 + 52 + ...+ 172.
(b) 3² + 33 + 34 +
. ..+317.
(c) 3-2 + 3-1 + 30 + 31 + 32+...+ 317.
(d) +1 ++.+
3
4
5
21
(e) The sum of the squares of the first 17 positive integers.
The sum of the cubes of the odd integers between 50 and 250.
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