SOLUTION: how many terms are there in the progession 11,18,25,32, _ _ _ _ _ ,676?

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Question 1073583: how many terms are there in the progession 11,18,25,32, _ _ _ _ _ ,676?
Answer by ikleyn(52788) About Me  (Show Source):
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Answer. %28676-11%29%2F7+%2B+1 = 95 + 1 = 96.

Solution. 

It is an arithmetic progression with the first term 11, last term 676 and the common difference 7 (obviously).


Calculate how many segments of the length 7 are there between the numbers 11 and 676.

Obviously, the number of these segments is  %28676-11%29%2F7.

Now add 1 (one) for the obvious reason (to account for both starting and ending members).

That is all.