What is the standard form of a parabola?

The standard form of a parabola is $$y = a(x-h)^2 + k$$ , where (h, k) is the vertex.

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

The sum is given by $$S_n = \frac{n}{2}(a_1 + a_n)$$ .

What is a conic section?

A conic section is a curve obtained by intersecting a cone with a plane, resulting in shapes like circles, ellipses, parabolas, and hyperbolas.

Define a geometric series.

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

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

The nth term is given by $$a_n = a_1 \times r^{(n-1)}$$ , where $$a_1$$ is the first term and $$r$$ is the common ratio.

What is the difference between a sequence and a series?

A sequence is an ordered list of numbers, while a series is the sum of the terms of a sequence.

What is the vertex of a parabola?

The vertex is the highest or lowest point of the parabola, depending on its orientation.

What is the discriminant of a quadratic equation and what does it indicate?

The discriminant is given by $$D = b^2 - 4ac$$ . It indicates the nature of the roots: if D > 0, two distinct real roots; D = 0, one real root; D

Precalculus 1st Semester Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Identify the common difference in the arithmetic sequence: 97, 86, 75, 64, ...

Back

The common difference is -11.

2.

FLASHCARD QUESTION

Front

Back

The equation represents a Parabola.

3.

FLASHCARD QUESTION

Front

Evaluate the infinite series: 1 + 1/2 + 1/4 + 1/8 + ...

Back

The series has No Sum.

4.

FLASHCARD QUESTION

Front

Find the 32nd term of the arithmetic sequence: 34, 37, 40, 43, ...

Back

The 32nd term is 127.

5.

FLASHCARD QUESTION

Front

Back

The center of the ellipse is (1, 0).

6.

FLASHCARD QUESTION

Front

Define an arithmetic sequence.

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

7.

FLASHCARD QUESTION

Front

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

Back

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