d) Give a formula for the coefficient of ak in the expansion of where k E Z. 100

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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TUTORIAL 2 (DISCRETE MATHS: COUNTING)

Based on the image attached, help me solve question D ONLY since I've got the solutions for ABC already. Thanks for your help.

4. Solve the following Binomial problems:
a) Find the expansion of (a + b)²
b) What is the coefficient of b⁹ in (2 - b)¹⁹?
c) What is the coefficient of a¹016⁹⁹ in the expansion of (2a - 3b)200?
100
d) Give a formula for the coefficient of a* in the expansion of (a² – 1) ¹⁰⁰,
where k E Z.
Transcribed Image Text:4. Solve the following Binomial problems: a) Find the expansion of (a + b)² b) What is the coefficient of b⁹ in (2 - b)¹⁹? c) What is the coefficient of a¹016⁹⁹ in the expansion of (2a - 3b)200? 100 d) Give a formula for the coefficient of a* in the expansion of (a² – 1) ¹⁰⁰, where k E Z.
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