SOLUTION: The third term of an AP is 45 and the 23 term term is 315. find the 59th term.

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Question 1092033: The third term of an AP is 45 and the 23 term term is 315. find the 59th term.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!

You could use the standard formulas for working with arithmetic progressions to solve the problem. However, I believe you will understand what you are doing better (and get to the answer a lot faster!) if you work in a less formal manner.

The 23rd term is 20 terms after the 3rd term; and it is 270 greater than the 3rd term. So the common difference is 270/20 = 13.5.

The 59th term is 36 terms after the 23rd term; so the difference between the 23rd term and the 59th term is 36*13.5 = 486.

So the 59th term is 315+486 = 801.