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https://www.youtube.com/watch?v=ZjUuR_SGssg

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James has a car that depreciates 5% every year. If the car is worth 20, 000, what would be the cars's value after 3 years?

The value would be $17,147.50

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Compound interest
A=P(l+r)^t

Decreasing interest
A=P(l-r)^t

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On billies first day of work he earns 4 dollars and on the next day he earns 8 more dollars and on the third he earns 12 dollars. How many dollars will he earn on the 6th day?

f(n)=f(n-1)+4
f(n)=f(6-1)+4
f(n)=20+4= 24

He will have earned 24 dollars on the sixth day

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-identifying the common difference in an arithmetic sequence.

-identifying the common ration in a geometric sequence.

-Finding the next term in an arithmetic or geometric sequence.

-telling the difference between arithmetic and geometric sequences.

-Writing recursive and explicit formulas for geometric and arithmetic sequences.

-Model sequence with a graph and a table.

-find the arithmetic and geometric means of a sequence.

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Recursive : F(n)=f(n-1)x change
Used for finding the next number in a sequence.

Explicit formula: f(n)=d+(n-1)
Used for finding any stage in a sequence
Summation Notation:

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Arithmetic- the division of math dealing with the manipulation of numbers.

Geometric sequence- sequence of numbers that are found by multiplying the previous number by a certain number

Sequence- an arrangement of numbers

Series- the sum off an infinite sequence

Arithmetic sequence- is a sequence of number that when a number is added or subtracted from any number in the sequence it will equal the next number

Discrete: do not connect the dots on the graph, pattern happens only at specific moments.

Continuous: dot are connected on graph, pattern constantly happens.