document.write( "Question 1208795: 444, 456, 471, ? 498, 519 \n" ); document.write( "
Algebra.Com's Answer #847293 by math_tutor2020(3817)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "As tutor greenestamps points out, the missing term could be 484.5
\n" ); document.write( "That's assuming the sequence follows a polynomial function.
\n" ); document.write( "That particular function is f(n) = 0.25n^4 - 3.25n^3 + 14.75n^2 - 13.25n + 445.5 where n is an integer that starts at n = 1
\n" ); document.write( "Plugging n = 1 gives the first term 444
\n" ); document.write( "n = 2 gives the second term 456
\n" ); document.write( "n = 3 gives the third term 471
\n" ); document.write( "etc\r
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\n" ); document.write( "\n" ); document.write( "However, we could have a situation as discussed at this link
\n" ); document.write( "https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.1188392.html
\n" ); document.write( "Each term could be equal to the previous term plus the sum of the digits.
\n" ); document.write( "444+(4+4+4) = 456
\n" ); document.write( "456+(4+5+6) = 471
\n" ); document.write( "471+(4+7+1) = 483 (??)
\n" ); document.write( "483+(4+8+3) = 498
\n" ); document.write( "498+(4+9+8) = 519
\n" ); document.write( "I put question marks after the 483 because it's quite possible that another value could fit in that slot.
\n" ); document.write( "There are probably many other ways to generate the sequence given, and hence many values to replace the question mark in your given sequence.\r
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\n" ); document.write( "\n" ); document.write( "Check out this similar problem
\n" ); document.write( "https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.1195799.html
\n" ); document.write( "On that link I try to find the next few terms in the sequence 1,2,4,...
\n" ); document.write( "It turns out there are at least 3 different possible answers for that question. There may be infinitely many answers.
\n" ); document.write( "This is more evidence that vague questions like this are very flawed. There needs to be more context provided.
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