Exponential Functions/Geometric Sequences Review

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an exponential function?
Back
An exponential function is a mathematical function of the form f(x) = a * b^x, where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent.
2.
FLASHCARD QUESTION
Front
What is a geometric sequence?
Back
A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
Tags
CCSS.HSF.BF.A.2
3.
FLASHCARD QUESTION
Front
What is the common ratio in a geometric sequence?
Back
The common ratio is the factor by which we multiply each term to get the next term in a geometric sequence.
Tags
CCSS.HSF.BF.A.2
4.
FLASHCARD QUESTION
Front
How do you find the nth term of a geometric sequence?
Back
The nth term of a geometric sequence can be found using the formula a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.
Tags
CCSS.HSF.BF.A.2
5.
FLASHCARD QUESTION
Front
What is the formula for the sum of the first n terms of a geometric series?
Back
The sum S_n of the first n terms of a geometric series is given by S_n = a_1 * (1 - r^n) / (1 - r), where a_1 is the first term and r is the common ratio.
Tags
CCSS.HSA.SSE.B.4
6.
FLASHCARD QUESTION
Front
What is an asymptote?
Back
An asymptote is a line that a graph approaches but never touches or crosses. In exponential functions, horizontal asymptotes indicate the value that the function approaches as x approaches infinity.
Tags
CCSS.HSF-IF.C.7D
7.
FLASHCARD QUESTION
Front
What does it mean for a function to exhibit exponential growth?
Back
Exponential growth occurs when a quantity increases by a consistent percentage over equal time intervals, resulting in a rapid increase.
Tags
CCSS.HSF-IF.C.8B
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