SOLUTION: the first term of an arithmetic progression is 12 and the last term is 40 if the sum of the terms is 196.find the number of terms and common difference

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Question 1030643: the first term of an arithmetic progression is 12 and the last term is 40 if the sum of the terms is 196.find the number of terms and common difference
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of an arithmetic progression is found by
S%5Bn%5D+=+n%28a%5B1%5D%2Ba%5Bn%5D%29+%2F+2
Plugging in we get
196 = n(12 + 40)/2
392 = 52n
There is a mistake with the problem.