The summation notation of the series 2 + 4 + 6 + 8 + 10 + 12 is [tex]\sum\limits^6_{n=1} {2n}[/tex]
How to rewrite the series using summation notation?
The series is given as:
2 + 4 + 6 + 8 + 10 + 12
The above series is an arithmetic series with the following parameters:
- First term, a = 2
- Common difference, d = 2
- Number of terms = 6
So, the nth term of the series is:
Tn = a + (n - 1)d
This gives
Tn = 2 + (n - 1) * 2
Expand
Tn = 2n
The summation notation is then represented as:
[tex]\sum\limits^6_{n=1} {2n}[/tex]
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