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Some bacteria's death is exponential diecay.

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when the exponent has a number less than 0.

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A variety of things could be represented in exponential function, such as population of people or animals.

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The natural exponential function y = e^x

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is used to model a relationship in which a constant change in the independent variable gives the same proportional change (percent of increase or decrease) in the dependent variable.

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Explicit form is just another way to write a normal, everyday geometric function. Geometric functions can be found in lots of places in our world!

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A geometric function written in the form form A(n) = a * rn - 1, where a is the initial value, r is the common ratio, and n is the term number

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Money situations can apply to geometric sequences, such as percentages.

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An example of this could be population growth in a country where population is controlled, like China. If each family is allowed to have 1 child, and each child has 1 child, and each child has 1 child, then that would be exponential growth.

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when the exponent has a value greater than one, so the number is growing.

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2, 4, 8, 16, 32, 64

Each time, the term is multiplied by 2. Therefore it is a gemectric sequence.

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A sequence in which the same number is multiplied/divided by the same element to get the next element.

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Whenever something or

someone goes through linear

changes over time, it can be

represented by NOW-NEXT. One

case of this might be rainfall on

a given day of steady showers.

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by Emma Grindstaff using Paint software

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2, 1, 0, -1, -2

NOW-2= NEXT

Start: 2

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A form causing one number to get to the next number in a sequence.

Expressed with the terms NOW and NEXT, a function (+. -. *. /), and a number that is with the function.

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The initial term is like the y intercept:

it tells you what the starting cost, (length, height, etc.) was.

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In a sequence: the ratio of a term to the previous. Is represented by "r"

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The very first term in a sequence.

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A Padlet by Emma

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You might use common ratio to examine how much something grew, or increased.

For example, if you were charting time (days) versus growth (inches) of a bean plant, you might put the

range into a sequence and examine the common ratio.

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Sources:

http://www.mathplanet.com/education/pre-algebra/learning-more-about-the-four-rules-of-arithmetic/geometric-sequences-of-numbers

http://www.mathsisfun.com/algebra/sequences-sums-geometric.html

http://www.digitalc3.com/?p=651

http://www.mathwords.com/e/explicit_formula.htm

http://en.wikipedia.org/wiki/Exponential_function

http://www.mathwarehouse.com/exponential-decay/images/