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In the expansion of (1 + x)^n, what is the term containing x^4?
Practice Questions
Q1
In the expansion of (1 + x)^n, what is the term containing x^4?
C(n, 4)x^4
C(n, 3)x^4
C(n, 5)x^4
C(n, 2)x^4
Questions & Step-by-Step Solutions
In the expansion of (1 + x)^n, what is the term containing x^4?
Steps
Concepts
Step 1: Understand that (1 + x)^n is a binomial expression that can be expanded using the Binomial Theorem.
Step 2: The Binomial Theorem states that (1 + x)^n = Σ (C(n, k) * x^k) for k = 0 to n, where C(n, k) is the binomial coefficient.
Step 3: Identify that we want the term that contains x^4, which means we need to find the term where k = 4.
Step 4: The term for k = 4 in the expansion is given by C(n, 4) * x^4.
Step 5: Therefore, the term containing x^4 in the expansion of (1 + x)^n is C(n, 4) * x^4.
No concepts available.
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