SOLUTION: This is my question --> Evaluate the arithmetic series below if it has 14 terms. 37+45+53++61

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Question 699660: This is my question --> Evaluate the arithmetic series below if it has 14 terms. 37+45+53++61
Answer by mouk(232) About Me  (Show Source):
You can put this solution on YOUR website!
This is an AP with first term=37, common difference=8
Solved by pluggable solver: Arithmetic Progression (AP) Solver
The first few terms of this AP are:
a=37, a+d=45, a+2d=53, a+3d=61, ...
or, just: 37, 45, 53, 61, ...
The Sum of the first n terms is given by:
+S%5Bn%5D=+%28n%2F2%29%282a%2B%28n-1%29d%29+
So substituting a=37, d=8 and n=14 gives:
+S%5B14%5D=+%2814%2F2%29%282%2837%29%2B%2814-1%298%29+=+1246+