You may be familiar with Pascal's triangle: 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1, where each number is the sum of the two numbers diagonally above it left and right. These turn out to be exactly the coefficients which we need if we have (x + y)^n (for n whole) without parentheses. Exercise : Check that for n = 0, 1, 2, 3, and predict what (x + y)^7 should be.
You may be familiar with Pascal's triangle: 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1, where each number is the sum of the two numbers diagonally above it left and right. These turn out to be exactly the coefficients which we need if we have (x + y)^n (for n whole) without parentheses. Exercise : Check that for n = 0, 1, 2, 3, and predict what (x + y)^7 should be.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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You may be familiar with Pascal's triangle:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1, where each number is the sum of the
two numbers diagonally above it left and right. These turn out to be exactly the coefficients
which we need if we have (x + y)^n (for n whole) without parentheses.
Exercise : Check that for n = 0, 1, 2, 3, and predict what (x + y)^7 should be.
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