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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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.
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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