[I will be simplifying the blogs from today on so that I may save time to study for upcoming AP's ]
Greetings, dear guests of Mathland!~
Greetings, dear guests of Mathland!~
Today I will be expanding on sequences and series. For sequences and series, there are two types:
-arithemetic
and
-geometric
For the arithemetic sequence, the formula used is an=a1 +(n-1)d. "D" is the ratio between each number - otherwise known as the common difference.
For the geometric sequence ,the formula used is an=r^(n-1)
In addition to using these equations, one is frequently asked to find the sum of the series, meaning what is the sum of the pattern added up to a specific number. To find the number, summation notation is used.
The arithmetic formula for this is Sn = n[ (a1+an)/2 ]
The geometric formula for this is Sn = [a1(1-r^n)]/1-r
Here is an example:
That is all for today! Good bye!~
-arithemetic
and
-geometric
For the arithemetic sequence, the formula used is an=a1 +(n-1)d. "D" is the ratio between each number - otherwise known as the common difference.
For the geometric sequence ,the formula used is an=r^(n-1)
In addition to using these equations, one is frequently asked to find the sum of the series, meaning what is the sum of the pattern added up to a specific number. To find the number, summation notation is used.
The arithmetic formula for this is Sn = n[ (a1+an)/2 ]
The geometric formula for this is Sn = [a1(1-r^n)]/1-r
Here is an example:
That is all for today! Good bye!~
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