Pascal Triangle

Front

What is Pascal's Triangle?

Back

A triangular array of binomial coefficients, where each number is the sum of the two directly above it.

Front

What is the formula for finding the nth row of Pascal's Triangle?

Back

The nth row corresponds to the coefficients of the expansion of (x+y)^n.

Front

Which row of Pascal's Triangle corresponds to the expansion of (x+y)^4?

Back

1, 4, 6, 4, 1.

Front

What is the value at the leftmost side of any row in Pascal's Triangle?

Back

1.

Front

Who is Pascal's Triangle named after?

Back

Blaise Pascal.

Front

What is the sum of the numbers in the nth row of Pascal's Triangle?

Back

2^n.

Front

What is the relationship between Pascal's Triangle and binomial expansion?

Back

The coefficients in the expansion of (x+y)^n are given by the nth row of Pascal's Triangle.

Front

What is row 5 of Pascal's Triangle?

Back

1, 5, 10, 10, 5, 1.

Front

How do you calculate the number of combinations (n choose k) using Pascal's Triangle?

Back

The number of combinations is represented by the entry in the nth row and kth position.

Front

What is the pattern of the first few rows of Pascal's Triangle?

Back

1; 1, 1; 1, 2, 1; 1, 3, 3, 1; 1, 4, 6, 4, 1.