document.write( "Question 738790: In a sequence of numbers each term after the first three terms is the sum of the previous three terms. The first three terms are -3, 0, 2. What is the first term to reach 100? I would also like to know the equation for the nth term. \n" ); document.write( "

Algebra.Com's Answer #450916 by fcabanski(1391) $\"\"$ $\"About$

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I do not know a formula way to find this answer, and therefore cannot tell you the formula for the nth term.

\n" ); document.write( "But finding the first term to reach 100 is easy. List a few terms. You'll see they quickly rise towards 100.

\n" ); document.write( "-3, 0, 2, -1, 1, 2, 2, 5, 9, 16, 30, 55, 101

\n" ); document.write( "The 13th term reaches 100.
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Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.) \n" ); document.write( "

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