A sequence of number can be arithmetic, geometric or neither
The sum of the first 100 terms is 29800
How to determine the sum of first 100 terms
The sequence is given as:
5, 9, 13, 17....
The above sequence is an arithmetic sequence, and it has the following parameters:
First term (a) = 5
Common difference (d) = 4
The sum of the first 100 terms is then calculated as:
[tex]S_n = \frac{n}{2} * (2a + (n -1)*d)[/tex]
Where n = 100
So, the equation becomes
[tex]S_{100} = \frac{100}{2} * (2*100 + (100 -1)*4)[/tex]
[tex]S_{100} = 29800[/tex]
Hence, the sum of the first 100 terms is 29800
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