document.write( "Question 1039963: form a sequence that has one arithmetic mean between 36 and 48 \n" ); document.write( "

Algebra.Com's Answer #654841 by Aldorozos(172) $\"\"$ $\"About$

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Read about sequences:
\n" ); document.write( "http://www.mathsisfun.com/algebra/sequences-series.html\r
\n" ); document.write( "\n" ); document.write( "Let's look at a number that is between 36 and 48 (for example 42)
\n" ); document.write( "We have to form a sequence that its mean is 42\r
\n" ); document.write( "\n" ); document.write( "One simple sequence is 40, 42 and 44. We know that the arithmetic mean (average) of these numbers is 42 since if we add them and divide them by 3 we get 42. Therefore 40, 42 and 44 is a simple sequence that its mean is between 36 and 48
\n" ); document.write( "Similarly we can write a sequence with more numbers like
\n" ); document.write( "38, 40, 42, 44, and 46. This sequence also has an arithmetic mean of 42\r
\n" ); document.write( "\n" ); document.write( "I can write a formula for this sequence finite 38, 40, 42, 44, 46\r
\n" ); document.write( "\n" ); document.write( "Xn = 36 + 2n where n = 1,2,3,4,5
\n" ); document.write( "If we assume n=1 the first term would be 36+2(1) = 38
\n" ); document.write( "The second term when n=2 would be 36+2(2) = 40 and so on.
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