SOLUTION: the 7th term of am AP is 17 and the 13th term is 12 more than the 7th term. find the common difference

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Question 1172462: the 7th term of am AP is 17 and the 13th term is 12 more than the 7th term.
find the common difference

Answer by ikleyn(52782) About Me  (Show Source):
You can put this solution on YOUR website!
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Between the 7th term and the 13th term of an AP, there are 13-7 = 6 equal gaps (intervals in the number line).


So, each such a gap is  12%2F6 = 2.


Each gap length is the common difference of the AP.


Hence, the common difference of this AP is  2.      ANSWER

Solved.

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Notice that the given value of the  7th term  (17)  is an  EXCESSIVE  and  UNECCESSARY  info.