4. Write the following using summation (Σ) or product (II) not (a) (1³ − 1) + (2³ − 1) + (3³ − 1) + ··· + (300³ − 1) (b) n + (n − 1) + (n − 2) + +1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4. Write the following using summation () or product (II) notation
(a) (1³ − 1) + (2³ − 1) + (3³ − 1) + ... + (300³ − 1)
·
-
(b) n + (n − 1) + (n − 2) + ... +1
1
(c) (1 – t) · (1 – t²) · (1 – t³) · (1 – t¹)
n-1
n-2
n-3
1
(d) n +
+
+.+
2!
3!
4!
n!
+
Transcribed Image Text:4. Write the following using summation () or product (II) notation (a) (1³ − 1) + (2³ − 1) + (3³ − 1) + ... + (300³ − 1) · - (b) n + (n − 1) + (n − 2) + ... +1 1 (c) (1 – t) · (1 – t²) · (1 – t³) · (1 – t¹) n-1 n-2 n-3 1 (d) n + + +.+ 2! 3! 4! n! +
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