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Summer3
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ggarr
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Summer3
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I think it is TRUE, too:

The average of an even number of consecutive terms (integers) CAN NEVER be an integer.

Because, average is the middle no. of the consecutive terms. If a series has even number of consecutive terms, the middle number can never be a single term (because we have even numbers of terms here).

Middle no. will be here half of the sum of two middle consec. numbers i.e. (odd no. + even no.) which will always result an ODD number. Since the no. of terms is an even number so ODD/even will result in to a fraction.

Am I right??
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FYI: I did answer your question. I hope you realized this after your initial response to my post. Your above post seems to indicate that you did. :?
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Summer3
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I am sorry, I misread your post and thought you were talking only about evenly-spaced numbers.

Really sorry...hope you will not mind.



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