OL PC Unit 6 Flashcard

Front

What is a divergent sequence?

Back

A set of numbers that don't approach a specific value.

Front

Which row of Pascal's Triangle corresponds to the expansion of (x+y)^3?

Back

1 3 3 1

Front

How do you find the fourth term of the expansion (5+3y)^5?

Back

The fourth term is 6750y^3.

Front

What is the formula for the sum of an arithmetic series?

Back

S_n = n/2 * (2a_1 + (n-1)d)

Front

What is the first term (a_1) in the series if a_1=22 and d=-8?

Back

The first term is 22.

Front

What is the common difference (d) in an arithmetic sequence?

Back

The common difference is the difference between consecutive terms.

Front

Expand the expression (2x+5)^4.

Back

16x^4 + 160x^3 + 600x^2 + 1000x + 625.

Front

What is the binomial theorem?

Back

The binomial theorem describes the algebraic expansion of powers of a binomial.

Front

What is the formula for the nth term of a binomial expansion?

Back

T_k = C(n, k) * a^(n-k) * b^k, where C(n, k) is the binomial coefficient.

Front

What does the binomial coefficient C(n, k) represent?

Back

C(n, k) represents the number of ways to choose k elements from a set of n elements.