101 99 200 . What is the coefficient of xy in the expansion of (2x - 3y)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 49E
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Need 4,5 please
1. The coefficient of y" and y¹ in the expansion of (2 + 3y) are equal, find p.
2. Given that the coefficient of the term from the beginning and the term from the end of
the expansion of (3x + 5)¹5 are in the ratio 27: 125. Find the value of r.
3. The fifth term in the expansion of (2x + k) is equal to the fourth term in the expansion of
(2 + kx)³. Find the value of k.
99
4. What is the coefficient of x¹019 in the expansion of (2x - 3y) 200?
5. Given that a₁ + a₂ + a₂ + a₂ + a₂ + a₂ = 29, where k € {1, 2, 3, 4, 5, 6} and a is a
non-negative integer. What is the probability that
a. a > 1
b. ak
C.
k> k
9₁ ≤ 5
Transcribed Image Text:1. The coefficient of y" and y¹ in the expansion of (2 + 3y) are equal, find p. 2. Given that the coefficient of the term from the beginning and the term from the end of the expansion of (3x + 5)¹5 are in the ratio 27: 125. Find the value of r. 3. The fifth term in the expansion of (2x + k) is equal to the fourth term in the expansion of (2 + kx)³. Find the value of k. 99 4. What is the coefficient of x¹019 in the expansion of (2x - 3y) 200? 5. Given that a₁ + a₂ + a₂ + a₂ + a₂ + a₂ = 29, where k € {1, 2, 3, 4, 5, 6} and a is a non-negative integer. What is the probability that a. a > 1 b. ak C. k> k 9₁ ≤ 5
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