Question

Use Pascal's Triangle to write the vw^(6)-term of (v+w)^(7)

Answer 1

To find the vw^(6)-term of (v+w)^(7) using Pascal's Triangle, look at the seventh row of the triangle, where the seventh term represents the vw^(6)-term.

Step-by-step explanation:

Pascal's Triangle is a triangular array of numbers in which each number is the sum of the two numbers directly above it. To find the vw^(6)-term of (v+w)^(7) using Pascal's Triangle, we can look at the seventh row of the triangle. The coefficients in this row represent the terms in the expansion of (v+w)^(7).

The seventh row of Pascal's Triangle is: 1 7 21 35 35 21 7 1.

The vw^(6)-term is the seventh term, which is 21 vw^(6).