Precalculus Review Units 4-6

Front

In the equation (x - 3)² + (y - 2)² = 16, what is the center of the circle?

Back

(3, 2)

Front

What point represents the polar coordinates (3, 3π/4)?

Back

E

Front

Find the common ratio of the geometric sequence 6, 42, 294,...

Back

7

Front

What are the vertices of the ellipse represented by the equation?

Back

(-2, 12), (-2, -2)

Front

Calculate the sum of the arithmetic sequence 28, 34, 40, 46, 52, ..., 88 with 11 terms.

Back

638

Front

What is the standard form of a circle's equation?

Back

(x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.

Front

Define a geometric sequence.

Back

A sequence where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

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

Back

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

Front

How do you find the center of a circle given its equation?

Back

Identify the values of h and k from the standard form (x - h)² + (y - k)² = r².

Front

What is the difference between a circle and an ellipse?

Back

A circle is a special case of an ellipse where the two foci coincide, and the distance from the center to any point on the circle is constant.