Finding an Unknown SequenceDate: 3/31/96 at 13:59:19 Subject: Math Problem From: John Sylvester I cannot figure out where to start on this Series and Sequences question. 1+3x+6(x)(x)+10(x)(x)(x)+15(x)(x)(x)(x)+. . . Can you help me? Sincerely, Cory Sylvester Date: 3/31/96 at 20:23:20 From: Doctor Jodi Subject: Re: Math Problem Hi there! The first thing I usually try to do in the sequence is to determine the pattern. There are two patterns here: the coefficients: 1, 2, 3, 6, 10, 15 the "x's" 1, x, x^2, x^3, x^4 I think you'll find the second pattern pretty easily. For the first, here's a hint: find the difference between each two terms in the sequence. Do you see a pattern? Good luck and let us know if you need more help! -Doctor Jodi, The Math Forum |
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