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

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Mathematics
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11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.
2.
FLASHCARD QUESTION
Front
How do you determine if a hyperbola is vertical or horizontal?
Back
A hyperbola is vertical if its equation is of the form (y-k)²/a² - (x-h)²/b² = 1. It is horizontal if it is of the form (x-h)²/a² - (y-k)²/b² = 1.
3.
FLASHCARD QUESTION
Front
What are the characteristics of an ellipse?
Back
An ellipse has two foci, a major axis, a minor axis, and the sum of the distances from any point on the ellipse to the two foci is constant.
4.
FLASHCARD QUESTION
Front
What is the sine of 7π/6?
Back
-1/2
5.
FLASHCARD QUESTION
Front
What defines a hyperbola?
Back
A hyperbola is defined as the set of all points where the absolute difference of the distances to two fixed points (foci) is constant.
6.
FLASHCARD QUESTION
Front
What is the general form of a conic section?
Back
The general form is Ax² + Bxy + Cy² + Dx + Ey + F = 0, where A, B, and C are not all zero.
7.
FLASHCARD QUESTION
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.
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