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Chapter 11 - Infinaite Geometric Series 

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Chapter 11 - Infinaite Geometric Series 

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An infinite geometric series converges  if its common ration r  satisfies–1 < r < 1. Otherwise it diverges.

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The indicated sum of the terms of a geometric sequence.

1 + 3 + 9 + 21 + 81

5 + (-10) + 20

4 + 1 + 1/4 + 1/16

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One in which each term after the first is found by multiplying the previous term by a constant called the common ration, r.

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The indicated sum of the terms of a sequence.

Arithmetic Series

4+7+10+13+16

-10+(-4) +2

2/7+ 6/7+ 10/4 + 14/7

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The difference  between one term and the next is a constant.

In other words, we just add the same value each time .

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is its logarithm to the base e where e is an irrationa and ranscendental  constant approximately equal to 2.718281828.

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Are usually written without the subscript 10, so log10 x is written as log x.

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For all positive numbers m, n , and b, where b= 1, logb mn = logb m + logb ^n

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Base 2 of x. This relation is written log2x=y and is read "The log base 2 of x equal to y."

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Chapter 10 - Real Exponents & Exponential Functions

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Chapter 10 - Real Exponents & Exponential Functions

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An equation of the form y= a times b^x, where a=0,, b>0, and b= 1, is called an exponential function with base b.

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Contains one or more rational expressions. This can be done by multiplying each side of the equation by the least common denominator . Each side must be multiplied by the LCD.

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Chapter 9 - Adding & Subtracting Rational Expressions

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Chapter 9 - Adding & Subtracting Rational Expressions

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This formula involves the addition of two rational expressions. To add ( or subtract) fractions, you have to write them as equivalent fractions with a common denominator. The least common demoninator is usually used. The LCD is the least common multiple (LCM) of the denominators

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Chapter 9- Multiplying & Dividing Rational Expressions

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Chapter 9- Multiplying & Dividing Rational Expressions

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You divide both the numerator and demoninator by thier GCF. and to simplify an algebraic expression you use similar properties.

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When graphing rational functions you need to find the asymptote and inetrcepts to plot points.