One of two formula for the sum of n terms is
We have a1 = 6 and an = 300
so we must find d and n
6 + 12 + 18 + ... + 300
First we determine the common difference, d
d = (2nd term)-(1st term) = (3rd term)-(2nd term) = 12-6 = 18-12 = 6
Next we determine the number of terms, n:
We use the formula for the nth term
Now we can substitute in
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Notice that we could have used the other sum formula just as well:
Edwin