Subject: Number Sequences Name: Justin Schessler Who is asking: Student Level: Middle Question: We are studying number sequences at my school, Butler Middle School, Waukesha Wisconsin. I CAN NOT figure out this sequence or how we continue this sequence... 3,2,6,5,15,14,___,___,___ Can you PLEASE help me ? Thank You, Justin Schessler ps. my dad said this site might be a real help. Hi Justin, Sometimes these number or letter sequence problems are obvious like 2, 4, 8, 16, 32, __, __, ... sometimes they are bizarre like O, T, T, F, F, S, S, __, __, ... and sometimes there is more than one set of rules that will generate the terms you have.    For your problem 3, 2, 6, 5, 15, 14, ___, ___, ___ I don't see anything obvious and I don't recognize it as one of the more bizarre examples I have seen. The only pattern I see is: every even numbered term, (2, 5, 14) is one less than the previous term the first odd numbered term is 3 and after that each odd numbered term is 3 time the previous term. The terms you have satisfy these rules and continuing gives the seventh term is 3*(the sixth term) = 3*14 = 42 the eighth term is one less than the seventh term, 42 - 1 = 41 the ninth term is 3*(the eighth term) = 3*41 = 123 This may not be the sequence that is sought, but it consistently explains the first 6 terms. Cheers, Chris and Harley By the way the letter sequence above in made from the first letters of the counting numbers, One, Two, Three, Four, ...

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