Question Detail

MTH 101 Binomial Expansion Objective Question
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Question

Expand (1 - 5x)^(-5) up to term in x and evaluate (0.99)^(-5).
Options
A 1 + 25x → 1.25
Correct Answer
B 1 + 5x → 1.05
C 1 + 10x → 1.1
D 1 + 15x → 1.15
Correct Answer

Option A is the correct answer.

Detailed Explanation

T_0 + T_1 = 1 + (-5 choose 1)(-5x)^1 = 1 + 25x. For x=-0.01, value ≈1 + 25(-0.01)=1.25

Hint

Use first two terms of binomial series for small x.

Question Info

Course: MTH 101
Topic: Binomial Expansion
Type: Objective
Difficulty: Not specified
Question 73 of 696
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