document.write( "Question 578597: Does the number always have to be an even number each time to get a common difference in a arithmetic sequence? \n" ); document.write( "

Algebra.Com's Answer #370696 by KMST(5328) $\"\"$ $\"About$

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There are many choices for an arithmetic sequence.
\n" ); document.write( "I can make one with all irrational numbers:
\n" ); document.write( " $\"a%5B1%5D=pi\"$
\n" ); document.write( " $\"a%5B2%5D=pi%2Bsqrt%283%29\"$
\n" ); document.write( " $\"a%5B3%5D=pi%2B2sqrt%283%29\"$
\n" ); document.write( " $\"a%5Bn%5D=pi%2B%28n-1%29sqrt%283%29\"$
\n" ); document.write( "Maybe you are thinking of the formulas for the sum of an arithmetic sequence and about the 2 in the denominator. Well, the numerator will contain a product of two consecutive integers, like (n-1)n that will be even too, because one of those two integers has to be even. So, if the terms were integer, the sum will be integer too. \n" ); document.write( "

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