SOLUTION: S = n/2[2a +(n - 1)d]. Solve for a. Not sure how to solve. Non-homework.

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Question 1106609: S = n/2[2a +(n - 1)d].
Solve for a.
Not sure how to solve. Non-homework.
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
Step 1.  Divide both sides by n%2F2.   You will get   S%2F%28%28n%2F2%29%29 = 2a + (n-1)*d,   or   %282%2AS%29%2Fn = 2a + (n-1)*d.    (1)


Step 2.  In (1),  subtract (n-1)*d from both sides.  You will get   2a = %282S%29%2Fn - %28n-1%29%2Ad.                  (2)



Step 3.  In (2), divide both sides by 2 and get the   ANSWER   a = S%2Fn - %28%28n-1%29%2Ad%29%2F2.