SOLUTION: 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 wo

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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.
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
I do not know a formula way to find this answer, and therefore cannot tell you the formula for the nth term.


But finding the first term to reach 100 is easy. List a few terms. You'll see they quickly rise towards 100.


-3, 0, 2, -1, 1, 2, 2, 5, 9, 16, 30, 55, 101


The 13th term reaches 100.

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.)