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Precalculus

by: Magdelena and Josh

chapter 12

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Across
1.the study of the properties of fractals and their application to natural phenomena.
4.the ratio of successive terms of a geometric sequence.
12.if the iterates of a function approach infinity for some initial value, the initial point is called an escaping point.
16.infinite series that define the trigonometric functions sine and cosine.
19.if there is a number L such such that the value of f(x) gets closer and closer to L as x gets closer to a number a, then L is called the limit of f(x) as x approaches a. in symbols, L =lim f(x).
21.A sequence in which the first two terms are 1 and each of the additional terms is generated by adding the two previous terms.
24.the variable used with the summation symbol.
26.a method to test convergence in an infinite series.
28.the indicated sum of the terms of a geometric sequence.
29.a set of numbers in a specific order.
30.the indicated sum of the terms of an infinite sequence.
Down
2.a formula used for determining the next term of a sequence using one or more of the previous terms.
3.if the iterates do not approch infinity for some initial value, that point is called a prisoner point.
5.the series by which e to the x power may be approximated.
6.a problem that can be solved using binomial expansion.
7.a sequence in which the difference between successive terms is a constant.
8.a method of proof that depends on a recursive process.
9.symbolizes n!
10.a sequence in which the ratio between successive terms is a constant.
11.for any sequence a1, a2, a3
13.the indicated sum of the terms of an arithmetic sequence.
14.the difference between the successive terms of an arithmetic sequence.
15.represents the sum of the first n terms of a series.
17.a sequence which has infinitely many terms.
18.the terms between any two nonconsecutive terms of a geometric sequence.
20.triangular array of numbers such that the (n +1) to the th power row is the coefficient of the terms of the expansion ( x + y) to the n power for n = 0, 1, 2, ....
22.the graph of the sequence of successive iterates.
23.if a sequence of partial sums has a limit, then the related infinite series is said to converge.
25.if a sequence of partial sums does not have a limit, then the related series is said to diverge.
27.numbers in a sequence or series.

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