The sum of the first 50 terms in the sequence 18, 21, 24, 27, ... is 4575.
What is the sum of the sequence?
The sum of the sequence can be calculated by the formula
[tex]S_n = n/2(2a +(n-1)d)[/tex]
where a is the first term, d is the common difference
To find the sum of the first 50 terms in the sequences: 18, 21, 24, 27, ...
[tex]S_n = n/2(2a +(n-1)d)[/tex]
here, a = 18
d = 21 - 18 = 3
n = 50
[tex]S_{50} = 50/2(2(18) +(50-1)3)\\S_{50} = 25(36+147)\\S_{50} = 4575[/tex]
Thus, the sum of the first 50 terms in the sequence is 4575.
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