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Point Slope Form - MathHelp.com - Algebra Help

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For a complete lesson on point slope form, go to http://www.MathHelp.com - 1000+ online math lessons featuring a personal math teacher inside every lesson!

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An interest that is decreasing by a certain p[percent each year.

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An interest that is increasing by a certain percent each year

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When the dots on a line are connected because the pattern consistently happens over time.

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When the dots on a line are not connected because the pattern only happens at specific moments.

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Arithmetic Recursive: f(n)=f(n-1)+d   f(1)=
In this equation d represents the common difference you are adding or subtracting. You also have the state what f(1) is. This creates your arithmetic recursive formula.
Arithmetic Explicit: f(n)=dxn+f(0) or f(n)=d(n-1)+f(1)
There is two different types of this formula. The first one allows you to plug in f(0) and the second one allows you to plug in f(1). Again in this case d represents the common difference.
Geometric Recursive: f(n)=f(n-1)xr   f(1)=
This equation is very similar to arithmetic recurisive. The only difference is that instead of adding a common difference you are multiplying by a common ratio.
Geometric Explicit: f(n)=f(0)xr^n or f(n)=f(1)xr^n-1
In this equation you can either multiply the common ratio by f(0) or f(1). If you decide to multiply the common ratio by f(1) then you have to make sure you have the r to the n-1 power and not just the n power.
Point-Slope Form: y=m(x-x1)+y1
This equations shows you the slope and one point of the line directly in the equation and makes it easier to graph.
Point-Ratio Form: y=y1(r)^x-x1
This formula gives you a starting value and you can write it using any point

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An introduction (very basic) to summation notation for statistical formulas.

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Finding Sum of a Formula:
To find the sum of a formula you find the average of the first and last terms and then multiply that number by the number of values
Finding Missing Numbers in an Arithmetic Sequence:
To find missing values in an arithmetic sequence you subtract the first term from the last term then divide that number by the number of jumps. This gets you the common difference, so you use the common difference to get the other values.

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A formula that gets you to any stage in a given sequence.

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A formula that gets you from one stage to the next in a given sequence.

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A sequence of numbers, where you are multiplying a common ratio.

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A sequence of numbers, where you are adding or subtracting a common difference.