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[Maths] Sequences

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miguelperezfontenla

The document lists and describes various types of numeric and non-numeric sequences, including natural numbers, even numbers, odd numbers, multiples of three plus one, powers of two, powers of three, n squared plus one, n cubed, n multiplied by n minus one, the Fibonacci sequence, prime numbers, weekday names, planet names in the solar system, lengths of months, and the Spanish alphabetic order. It provides examples of the patterns in each type of sequence.

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SEQUENCES & SERIESMiguel P辿rez Fontenla, Nov 2009
1,2,3,4,5,........6,7,8,......Natural numbers
2,4,6,8,........10,12,14......Evennumbers
1,3,5,7,........9,11,13......Oddnumbers
4,7,10,13,........16,19,22......Multipleofthree plus one
2,4,8,16,........32,64,128.....Powersoftwo
1,2,4,8,16,........32,64,128.....Powersoftwo
1,3,9,27,........81,243,.....Powersofthree
2,5,10,17,........26,37,.....n squared plus one
1,8,27,64,........125,216,.....n cubed
2,6,12,20,........56,72,90,.....n multiplied by n minus one
two times n minus three divided by two
-1,1,-1,1,........-1,1,-1,1,.....minus one to the power of n
1,-1,1,-1,........1,-1,1,-1,.....minus one to the power of n plus one
two times n divided by two times n minusone
and....Other series not so easy
1,0,1,0,1........0,1,0,1.....
1,1,2,3,5........8,13,21,.....FibonacciSequence
81,27,9,........3,1,1/3,.....ondivided by 3 tothepowerof n minusfive
2,3,5,7,11,........13,17,19,23.....prime numbers
0,1,4,6,8,9,10,........12,14,15,16.....no prime numbers
2,-4,6,-8........10,-12,14,...minusonetothepowerof n plus onemultiplied by two times n
twothirdstothepowerof n minusfive
twotine 2 squaredtothepowerof n minusonedivided by four
andnow....Funny series
a,b,d,g,k........p,v,...followingthesequence 1,2,4,7,11,16,22
O,T,T,F,F,S,S........,E,N,TOne, two, three, four, five,six, seven, eight, nine, ten....
M,T,W,T,F........S,SWeekdays
M,V,E,M,J........S,N,U,PPlanets Solar SystemMercury, Venus, Earth, Mars, Jupiter, Saturn, Neptune, Uranus, Pluto
F,S,T,F,F,S,S.....,E,N,T
J,F,M,A,M,J,J........,A,S,O,N,D
31,28,31,30,31,...Lengths of months in days...30,31,31,..
2,2,4,4,2,6,6,2,8,...Table of two...8,2,10,...
5,4,2,9,8,6,...Alphabetic Order In Spanish...7,3,1
2,10,12,16,17,18,19,200......201,202,..In Spanish they start by the D letter:Dos, diez, doce, dieciseis, diecisiete,dieciocho,diecinueve,doscientos....
2,3,6,16,22,23,26,32,33......36,42,43,46,..In Spanish they finish with the S letter:Dos, tres, seis, dieciseis, veintidos, veintitres, veintiseis, treinta y dos ....

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