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        ****** Congratulations to all who entered *******
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               * Winners/Solvers of puzzle 517 *
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BRITNEY ELLITHORP,DAVID PRAMIK, Adeline Cervantes, Kayla Hawbecker, 
Kelsey B. and Catherine G., Adilene Cervantes, Kayla Hawbecker, 
Austin Roberts,  Nick FitzGerald, Beau, Matt P., Jason Valdez
Highlands Elementary - Santa Clarita -  United States of America

Sisi Jiang
Broadview P.S. - Ottawa Canada

John M. Brian C. Andy C. Michelle S. - Mrs. O'Connell's 5th Grade
Cottage Lane School - Blauvelt, NY U.S.A

Lily SP2-1-88

kate fish
Branksome Hall

Jay and Jake
Gladys Speers P.S - Oakville, Ontario Canada 
This is our answer for this weeks question 
1,1,4,8,9,27,16,64,25,125,36,216
To get this answer you have to do 1x1=1, 
2x4=8, 3x9=27,4x16=64 etc.
We got the 123456 because it was a pattern.

Spenser, Jimmy Tat 
Gladys Speers public school - oakville Ont.

Derek L. & Melissa S. 
St. Joseph school - Tilbury, Ontario, Canada

Siddharth Suresh 
Dawson student - Montreal

Daniel Chan
Winfields J.H.S - TOronto, Ontario, Canada

Emily Burke
Australia
im doing this out side of school

ramani jv
tau mu school - munirka new delhi.

anju
india

karangaba

shiau

Jasdeep & T.J. -  class5/6
PercyMerryP.S. - Milton,Ontario,Canada


Danny Walker
Georgetown District High School - Ontario, Canada

Gaylen
Branksome Hall

Brendan Harris

Gavin Ayres
Altrincham Loreto - England

Gr. 6/7
Sacred Heart School - Sarnia Ontario

Jessica Bowne
St. Gabriel - Connersville, In. U.S.A.

Saladi Rahul, Ramiz Nathani
C.M.Academy - Ankleshwar India

Duc 
BTX high schol - VN

Pansy Yeo: 
Nanyang Girls' High School - Singapore

Tyler John Simons Marghetis 
Mother Teresa High School - Nepean, Ontario Canada
trunc(x) = y where y is the integral part of x
Tn = [trunc((n + 1)/2)]^[((n + 1) mod 2) + 2]
T4 = [trunc((4 + 1)/2)]^[((4 + 1) mod 2) + 2]
T4 = [2]^[1 + 2]
   =  8
Therefore 
T11 = [trunc((11 + 1)/2)]^[((11 + 1) mod 2) + 2]
    = [6]^[0 + 2]
    = 36
T12 = [trunc((12 + 1)/2)]^[((12 + 1) mod 2) + 2]
    = [6]^[1 + 2]
    = 216

John Ford Berkeley
mathias

Grade 4/5 
Morrisburg Public School - Morrisburg, Ontario Canada

Whitney Matthews
Brookstone High - Columbus GA USA

Sean Esson
Holy Trinity High School Ontario, Canada

Lim Chiao Yuen
Science College - Bandar Seri Begawan Brunei Darussalam

Ramon Nguyen
Post, Houston, TX

TacoBell

Ana Ivic
York University - Keele Campus North York Canada

steven

Jenn Garbett
Pineland PS - Burlington

Mrs. Kempff's grade 5's
Pineland Public school - Burlington Ontario   

xetrsaq

Bob Leighfield
Tillsonburg - On Canada


Shawn Shelast - Grade - Seven
St. Martin's - Vegreville, Alberta, Canada

Tom Jackson
Anlaby School - Hull England

Theo Mokgatlhe 
St Dominic's College - Welkom South Africa

Manish Mohan
gprc - grande prairie, alberta, canada

Sarah Osmeyer

acheng

Michael Angelopoulos
Royal West Academy,Montreal,Quebec,Canada

Ling Xiang Ning, Allan 
Raffles Institution - Singapore

Tomasz Biczak - grade 4
Waverley Drive Public School - Guelph, Ontario, Canada
The numbers in the pattern are the pairs of 
squares and cubes of 1, 2, 3, ,4 and 5.
The next number in the pattern is 6.
The square of 6 is 36 and its cube is 216.
So 36 and 216 go in the blanks.

sadeghi nejad
yazd - yazd university

Clara Alvarez
Antonio Maura (school), Palma de Mallorca, Spain

Eric Louchez 
University of Waterloo
Waterloo, ON
Canada

Sunny 
China

John Brockman

Lisa Schechner
Weber Middle School - Port Washington, NY

John Beard 
Provo High School - Provo, Utah, U.S.A.

T. Hoang

Colin Clarke
Cranbrook - Birmingham, USA, MI.

Francis Miller

Bryan Friedman

liana quach and aaron stone
techumseh p.s, - burlington, canada 

Anthony Sander
Highlands Elemtary - Santa Clarita, Usa

Jordan Cappadocia, Brian Serneels, Andy Smith, Greg Mckenzie.
Kilbride Public School - Kilbride, Ontario, Canada. 

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        ****** Congratulations to all who entered *******
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