2H1 The Binomial Theorem - classwork

Front

What is the top row of Pascal's triangle?

Back

Zero, 0.

Front

How many terms are in a binomial expansion of degree 19 according to Pascal's triangle?

Back

20.

Front

What number do you multiply the fourth term of the 8th degree binomial expansion by according to Pascal's triangle?

Back

56.

Front

Which row of Pascal's triangle do you need to use to complete the 23rd degree binomial expansion?

Back

23rd, 23.

Front

How do you find the values of the interior triangles of Pascal's triangle?

Back

You find the sum of the triangles above it.

Front

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

Back

The formula is Σ (n choose k) * a^(n-k) * b^k for k = 0 to n.

Front

What does (n choose k) represent in the binomial theorem?

Back

It represents the number of ways to choose k elements from a set of n elements.

Front

What is the value of (5 choose 2)?

Back

10.

Front

What is the significance of the coefficients in a binomial expansion?

Back

They represent the number of ways to choose terms from the expansion.

Front

What is the relationship between the rows of Pascal's triangle and binomial coefficients?

Back

Each row corresponds to the coefficients of the binomial expansion for increasing powers.