***************************************************************** ****** Congratulations to all who entered! ******* ***************************************************************** ~ Winners/Solvers of puzzle #403 ~ ***************************************************************** nikkinikki@1999.yahoo.com Kristin P, Jackie L and Jennifer P Christ the King - Lubbock Tx. USA Stephen L., Brian S.F., Jaime V. Christ the King cathedral School - Lubbock, Tx United States matt g and spud........yo c.t.k. - lubbock, texas. usa Annie L. C.T.K. School - Lubbock,Texas USA Greg G. C.T.K. cathedral school - Lubbock Tx. USA Brendan C. Christ The King Junior High School - Lubbock, Texas, U.S.A. Kieran Hunt and Kevin Feldon - Ms. Boudreau Gr.6 St. Margarets Guy Ivan Kuang Baruch College - New York, United States Mrs. Spence's Grade 3/4 Class Joseph Welsh School - Red Deer AB CANADA Solution # 1: 38 2, 4, 3 are given numbers. 2+4=6, 4+3=7, 3+9=9, 6+7=13, 7+9=16, 9+13=22, 13+16=29, 16+22=38... Siddharth Suresh - Homeroom 204 Royal West Academy Mr. Hoban's grade 8/9 Math Class Lloyd Garrison School, - Berwyn Alberta, Canada, Zachary D Jacque T. Gabby E., Christ The King Junior High - Lubbock,Tx., U.S.A. Chris N C.T.K Lubbock - Texas U.S.A Lora K , Cassie Z and Leslie L CTK - Lubbock, texas Jerumanis, Daina murrayr@ocps.k12.fl.us Omar Hanson Sharjah International American School - Sharjah United Arab Emirates Inan Top Leslie Park public school - Nepean, Ontario Canada Ali Riza AKSOY Istanbul, TURKEY feyyaz ikiz feyyaz@bigfoot.com Linda Tan - Grade 10 Sacred Heart Nihal The English Institute - Kalutara North. Sri lanka. Bill O'Brien Juergen Walther KYAW K HAN RANGOON UNIVERSITY Andrew Hudson salimonyous@hotmail.com Josh and Jamie - Class 52 Eastview Public School - Oakville Ontario,Canada. Kevin Krueger St. Rose school - Perrysburg, Ohio Bryan L, grade 8 (Joanne Harris) Centennial Middle School - Georgetown, Ontario, Canada Tim vanSwearingen Great Falls High School - Great Falls, MT Andrew Hudson,salimonyous@hotmail.com Kaylee and Lisa Frontenac School - Winnipeg, Manitoba, Canada Kimmy Stevens,Meghan Burns, Brenda Fernandes, Megan Westra and Danielle Spitzig - Miss Boudreau 6/7 class St.Margaret's School - Sarnia Ontario Francisco A. Cicero, 9 years old, bilingual 4th grade, San Elizario Elementary School - El Paso, Texas, USA Gordon Kwok John G. Diefenbaker HS - Calgary, Canada Eric Simpson, Angela Parker, Stephen Walker, Paul Barker, Kodi Worobey, Chris S, Samantha Rees, Steven Goobie, Kaylene Gilbert, Kyle Perrault,Kyle Davidson, Derek Spencer, Jennifer Gallant, Chelsey Winch Deer Park P.S. - Keswick Ont. Canada Andrew Westwood, Nicole Baron Grade 6 Shamrock School - Winnipeg,MB,CA Justin Giles Deer Park P.S. - Keswick, Ont. Canada Mrs. Wright's 5th graders - Greeley, CO Shawsheen Elementary - Greeley, CO, USA S. Springett and 61 and 5/6 W.H. Morden Public School - Oakville, Ontario Jena, Yuri, Kayla, Sam and others - Mr. Spence's Grade 5 Class Normandeau School - Red Deer AB Canada Jena worked backwards: 29-22=7, 22-16=6, 16-13=3,... and noticed that the differences formed the beginning of the series. Therefore, ?-29 must be 9 (the number after 7) and ? must be 38. The others saw that 2+4=6, 4+3=7, 3+6=9...each pair adds to the second term following the pair. ******* answer 31 ******************************************* from Britanny 2, 4, 3, 6, (7) is the seed. Start at 7 7+2=9, 9+4=13, 13+3=16, `6+6=22, 22+7=29 29+2=31,..+4......+3.......+6, etc. Mrs. Spence's Grade 3/4 Class Joseph Welsh School - Red Deer AB CANADA Sequence: 2, 4, 3, 6, 7 is given. To continue the sequence in clusters of 5 terms: 7+2=9, 9+4=13, 13+3=16, 16+6=22, 22+7=29 29+2=31... ***************************************************************** ****** Congratulations to all who entered! ******* *****************************************************************