The Ultimate Pyramid A  28  496  8128 33550336 8589869056 137438691328                             Determine the value of A that begins this pyramid of numbers and also provide your reasoning for determining this value.
December 5, 2005
Past Problems
	E-mail Solutions to: pow@umassd.edu
	Correct Solutions
	Jon Eisenberg. Dartmouth High School, Dartmouth MA Matt Kestenbaum. Dartmouth High School, Dartmouth, MA Francois Bonjean. Liege, Belgium Brian Hetrick. UNH, Manchester, NH Emil Lalov. Mathematical High School, Pleven, Bulgaria Lisa Schechner. Schreiber HS, Port Washington, NY Raphael Chalhub. Pan American School of Bahia, Salvador, Bahia, Brazil Gustavo Amorim. Pan American School of Bahia, Salvador, Bahia, Brazil Caroline Brander. Trinity High School, River Forest, IL Katie Grunow. Trinity High School, River Forest, IL Charles Keebaugh. Colorado Springs, CO Frank McGartland. Saskatoon, SK., Canada Thomas Robertson. Riverside, RI Genoa Warner. Dartmouth High School, Dartmouth, MA Sarah Maldonado. Creekwood Middle School, Kingwood, TX Amanda Tu. Southridge School, Surrey, BC, Canada Rohit Bollineni. Power Midle School, Farmington Hill, MI Sahit Bollineni. Highmeadow Common Campus, Farmington Hill, MI Jay Counts Ocala, FL Chris Oaks. Lower Merion High School Darren Brown. West Port High School, Ocala, FL John Jones Jr. Belleville East High School, Belleville, IL Carolyn Merchant. DHS, South Dartmouth, MA Maggie Schoening. Dartmouth High, Dartmouth, MA Max White. South Pasadena Middle School, South Pasadena, CA Rin Sone. South Pasadena Middle School, CA Phillip Ai.  Hammarskjold Middle School, East Brunswick, NJ Harry Siebert. Infineon, Munich, Germany Bar Greengrass. Israel Mrinal Singh. Kendriya Vidyalaya, H.V., Shillong, Meghalaya, India Kathrin Baur. Pan American School of Bahia, Salvador, Bahia, Brazil Raphael Leitz. Pan American School of Bahia, Salvador, Bahia, Brazil Jerrold Greenberg. New York, NY Craig Sidell. New York, NY Adrian Atanasiu. Bucharest, Romania Seana McKee. Dartmouth High School, Dartmouth, MA Ashvin Swaminathan. Harker Elementary School, San Jose, CA Abigail Finger. Dartmouth High School, Dartmouth, MA Maggie Schoening. Dartmouth High, Dartmouth, MA Jenna Custodio. Dartmouth High School, Dartmouth, MA David Shi. JLS MIddle School, Palo Alto, CA Rachel Bier. Dartmouth High, Dartmouth, MA Nancy Huynh.. MVRCS Upper School. Everett, MA Amanda DeCosta. Dartmouth High School, Dartmouth, MA Tom Wilcox, Math Instructor, Wilcox Technical H.S., Meriden, CT Wu Ken. Pan American School of Bahia, Brazil, Bahia, Salvador Brandon Simmons. Decatur Central High, Indianapolis, IN Bob Mitchell, Normal, IL Marius Damian. Braila, Romania Josh Gow. Sauk Centre HS, Sauk Centre, MN Brad Zoller, Decatur Central Highschool, Indianapolis, IN Peter Moynahan. Rye Junior High, Rye NH David Shi. JLS MIddle School, Palo ALto, CA Alan Scott. Elizabethtown High School, Elizabethtown, KY Sagar Patel. Brookstone School, Columbus, GA Daniel Pyon. South Pasadena Middle School, South Pasadena, CA Brianna Loo. South Pasadena Middle School, South Pasadena, CA Kevin Temew. Davao Christian High School, Davao City, Philippines Chris Hanes. West Port High School,Ocala, FL Amy Skidmore.  John Hardin High School, Elizabethtown, KY Tim Poe. Austin, TX Emily Cowperthwaite. Leo Hayes High School, Fredericton, NB, Canada Nicholas Caligaris. Brookstone School, Columbus, GA Anil Nataraj. Brookstone School, Columbus, GA Aashrita Mangu. South Pasadena Middle School, South Pasadena, CA USA Michelle Lam. South Pasadena Middle School, South Pasadena, CA Niels Nielsen. Denmark Carter Galbraith. Brookstone School, Columbus, GA Kelly Temew. Davao Christian High School, Davao City, Philippines Ken Sagynbekov. Bishkek, Kyrgyz Republic Karina Shaw. Laguna Beach High School, CA Curtis Schneider. Winnipeg, Manitoba, Canada Dalia McGlone. Charleston, SC Nikki Tan. Southridge, Surrey BC, Canada Matthew Wong. South Pasadena, South Pasadena Middle School, CA Jenna Kirk. Oak Park River Forest High School, Oak Park, IL Nibal Nsr. West Bloomfield High School, West Bloomfield, MI Sheyi Alamou. International School of Uganda, Uganda, Africa Evan Case. Freetown Lakeville Middle School, Lakeville, MA Cassie Smith. Freetown Lakeville Middle School, Lakeville, MA Evan Field. Freetown Lakeville Middle School, Assonet, MA Allamanis Miltiadis. Anatolia High School, Thessaloniki, Greece
	48% of respondents successfully answered this problem.

 

 Last Updated On: 12/13/05