Note, these are solid tetrahedrons, so there will be some cannonballs obscured from view (the picture on the right has one cannonball in the back not shown in the picture, for example) The pirates wonder how many cannonballs would be required to build a pyramid 15 layers high (thus breaking the world cannonball stacking record). Can you help? Let P(n) denote the number of cannonballs needed to create a pyramid n layers high. So P(1) = 1, P(2) = 4, and so on. Calculate P(3), P(4) and P(5). a. on. %3D b. Use polynomial fitting to find a closed formula for P(n). Show your work. Answer the pirate's question: how many cannonballs do they need to make a pyramid 15 layers high? C.

Note, these are solid tetrahedrons, so there will be some cannonballs obscured from view (the picture on the right has one cannonball in the back not shown in the picture, for example) The pirates wonder how many cannonballs would be required to build a pyramid 15 layers high (thus breaking the world cannonball stacking record). Can you help? Let P(n) denote the number of cannonballs needed to create a pyramid n layers high. So P(1) = 1, P(2) = 4, and so on. Calculate P(3), P(4) and P(5). a. on. %3D b. Use polynomial fitting to find a closed formula for P(n). Show your work. Answer the pirate's question: how many cannonballs do they need to make a pyramid 15 layers high? C.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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