Power series
A series is a group of numbers. It is organized in a series brackets shown at the left. The zeroth number is first, then the first, then second, and on an on in that manner (sometimes forever).
A sum is when all of the numbers in a series are added together. This uses the sigma symbol on the left. Lower and upper limits are placed on the sigma to show where to start and end. When using sigma notation the lower limit (a) should have n=c where c is a constant (usually 0). b, on the other hand, can be anything. For an infinite series it is infinity. The expression that comes after sigma is what is added every time. In the figure on the left (the general formula for gemoetric series) that is the nth term a. This denotes that the nth term in a series is the term being added. So, for example in a series {1, 4, 48, 562, -6} a sub 4 would be 562 (or -6 if you start at zero). The second last formula is the formula for a power series. Another way to write it is below it.
A sum is when all of the numbers in a series are added together. This uses the sigma symbol on the left. Lower and upper limits are placed on the sigma to show where to start and end. When using sigma notation the lower limit (a) should have n=c where c is a constant (usually 0). b, on the other hand, can be anything. For an infinite series it is infinity. The expression that comes after sigma is what is added every time. In the figure on the left (the general formula for gemoetric series) that is the nth term a. This denotes that the nth term in a series is the term being added. So, for example in a series {1, 4, 48, 562, -6} a sub 4 would be 562 (or -6 if you start at zero). The second last formula is the formula for a power series. Another way to write it is below it.