AP PreCalc 2.1- 2.6 Review

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What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference (d).

Tags

CCSS.HSF.BF.A.2

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How do you find the common difference in an arithmetic sequence?

Back

The common difference (d) is found by subtracting any term from the subsequent term: d = a(n+1) - a(n).

Tags

CCSS.HSF.BF.A.2

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 (r).

Tags

CCSS.HSF.BF.A.2

Front

How do you find the common ratio in a geometric sequence?

Back

The common ratio (r) is found by dividing any term by the previous term: r = a(n+1) / a(n).

Tags

CCSS.HSF.BF.A.2

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

Back

The nth term (a_n) of an arithmetic sequence can be calculated using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Tags

CCSS.HSF.BF.A.2

Front

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

Back

The nth term (a_n) of a geometric sequence can be calculated 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

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What does it mean to transform a function right by k units?

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Transforming a function right by k units means replacing x with (x - k) in the function's equation.

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CCSS.HSF.BF.B.3

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What is the y-intercept of a function?

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The y-intercept is the point where the graph of the function crosses the y-axis, which occurs when x = 0.

Front

How do you find the y-intercept of the function y = 4(2^x)?

Back

To find the y-intercept, substitute x = 0 into the function: y = 4(2^0) = 4.

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CCSS.HSF-IF.C.7E

Front

What is the initial value of an exponential function?

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The initial value of an exponential function is the value of the function when x = 0, which is the y-intercept.