What is the value of the 5th term in the expansion of (3x - 2)^6? (2023)
Practice Questions
Q1
What is the value of the 5th term in the expansion of (3x - 2)^6? (2023)
-540
540
720
360
Questions & Step-by-Step Solutions
What is the value of the 5th term in the expansion of (3x - 2)^6? (2023)
Step 1: Identify the expression to expand, which is (3x - 2)^6.
Step 2: Determine the term number we want, which is the 5th term.
Step 3: Use the binomial expansion formula: the nth term in the expansion of (a + b)^n is given by C(n, k) * a^(n-k) * b^k, where C(n, k) is the binomial coefficient.
Step 4: For the 5th term, we need to find k = 4 (since we start counting from k = 0).
Step 5: Calculate the binomial coefficient C(6, 4). This is equal to 6! / (4! * (6-4)!) = 15.
