The 6th row of Pascal's Triangle (starting with row 0) is 1, 6, 15, 20, 15, 6, 1. Using this row, the expansion of is . The coefficient of the term in this expansion is .
Answer & Analysis
Analysis
Question Analysis
This problem assesses the student's ability to use the coefficients from Pascal's Triangle to find specific terms in a binomial expansion.
Key Concept Explanation
Each row in Pascal's Triangle provides the coefficients for the expansion of . The 6th row (for ) is 1, 6, 15, 20, 15, 6, 1, which corresponds to the coefficients of the terms in the expansion of .
Step-by-step Solution
1. Identify the 6th row of Pascal's Triangle: 1, 6, 15, 20, 15, 6, 1
2. Use these coefficients to write the expansion of
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