Next in Line

 Visit this site: http://www.maa.org/mathland/mathland_11_18.html Author: Ivars Peterson (MathLand) Description: Number sequences present all sorts of intriguing puzzles and patterns. Consider the sequence of counting numbers: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 .... Now, take out every second number, leaving: 1 3 5 7 9 11 13 15 ...; form the cumulative totals of these numbers: 1 (1+3) (4+5) (9+7) (16+9) (25+11) (36+13) (49+15) ...; and out pops the sequence of consecutive squares: 1 4 9 16 25 36 49 64...! This seemingly magical transformation of one sequence into another was first discovered and explored by mathematician Alfred Moessner in the early 1950s. He and others found a host of such relationships between different number sequences... Levels: Elementary, Middle School (6-8), High School (9-12), College Languages: English Resource Types: Articles Math Topics: History and Biography, Sequences and Sets

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