SOLUTION: Find the sum of the first 196 terms of 2,7,12,17,...

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Question 690876: Find the sum of the first 196 terms of 2,7,12,17,...
Answer by mouk(232) About Me  (Show Source):
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The terms 2,7,12,17,... form an Arithmetic Progression (AP) with:
first term, a = 2
common difference, d=5
You can use the AP summation formula +S%5Bn%5D=%28n%2F2%29%282a%2B%28n-1%29d%29+
The result is as follows:
Solved by pluggable solver: Arithmetic Progression (AP) Solver
The first few terms of this AP are:
a=2, a+d=7, a+2d=12, a+3d=17, ...
or, just: 2, 7, 12, 17, ...
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=2, d=5 and n=196 gives:
+S%5B196%5D=+%28196%2F2%29%282%282%29%2B%28196-1%295%29+=+95942+