DEC 10 FLASHCARD

Front

Define arithmetic sequences.

Back

A sequence whose terms change by adding the same number each time.

Front

Find the common ratio of the following geometric sequence: 2, -10, 50, -250, ...

Back

r = -5

Front

What is the definition of an odd function?

Back

A function that satisfies the property f(-x) = -f(x) for all x in the domain of the function.

Front

The function is......

Back

Odd and has a negative leading coefficient.

Front

Find the general rule for: 64, -32, 16, -8, …

Back

64(-1/2)^(n-1)

Front

What is a geometric sequence?

Back

A sequence where each term is found by multiplying the previous term by a constant called the common ratio.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the sum of the first n terms of an arithmetic sequence?

Back

S_n = n/2 * (a_1 + a_n), where a_n is the nth term.

Front

What is the formula for the nth term of a geometric sequence?

Back

a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

What is an even function?

Back

A function that satisfies the property f(x) = f(-x) for all x in the domain of the function.