Pascals Triangle

Front

What is Pascal's Triangle?

Back

Pascal's Triangle is a triangular array of the binomial coefficients. Each number is the sum of the two directly above it.

Front

How do you find the coefficients of a binomial expansion using Pascal's Triangle?

Back

The coefficients of the expansion of (a + b)^n correspond to the nth row of Pascal's Triangle.

Front

What is the formula for the binomial expansion of (a + b)^n?

Back

Front

What is the 4th row of Pascal's Triangle?

Back

The 4th row is 1; 4; 6; 4; 1.

Front

What is the 5th row of Pascal's Triangle?

Back

The 5th row is 1; 5; 10; 10; 5; 1.

Front

How do you determine the number of terms in the expansion of (a + b)^n?

Back

The number of terms in the expansion is n + 1.

Front

What is the relationship between the rows and the exponents in Pascal's Triangle?

Back

The nth row corresponds to the coefficients of the expansion of (a + b)^(n-1).

Front

What is the 3rd term in the expansion of (x + 2)^4?

Back

The 3rd term is 24x^2.

Front

How do you find the 4th term in the expansion of (4x - 3)^5?

Back

Front

What is the significance of the number 4 in the context of Pascal's Triangle?

Back

In Pascal's Triangle, the number 4 indicates the row used to find coefficients for the expansion of (a + b)^4.