Modeling with Exponential and Other Functions

Challenge:

According to legend, Sissa Ben Dahir, the Vizier of the court of King

Shirham of India, worked diligently and invented a new game that was

called Chess. The King decided to grant Sissa the reward of his choosing.

Sissa pondered carefully and requested the following from the King:

One grain of wheat on the first square of the chessboard,

two grains of wheat on the second square, four grains on

the third square, eight on the fourth square, and so on.

The King thought this was a very modest request and

said that he would grant the Vizier's request.

At right is a chessboard with 64 squares.

1. Make a table showing the

number of grains of wheat on

the first ten squares and the

total grains of wheat on

squares 1 through n, for

n = 1, 2, 3, ..., 10.

Question

Sophie

Mathematics

28 March, 17:20

Modeling with Exponential and Other Functions

Challenge:

According to legend, Sissa Ben Dahir, the Vizier of the court of King

Shirham of India, worked diligently and invented a new game that was

called Chess. The King decided to grant Sissa the reward of his choosing.

Sissa pondered carefully and requested the following from the King:

One grain of wheat on the first square of the chessboard,

two grains of wheat on the second square, four grains on

the third square, eight on the fourth square, and so on.

The King thought this was a very modest request and

said that he would grant the Vizier's request.

At right is a chessboard with 64 squares.

1. Make a table showing the

number of grains of wheat on

the first ten squares and the

total grains of wheat on

squares 1 through n, for

n = 1, 2, 3, ..., 10.

+4

Answers (1)

Know the Answer?

Grant Peck · Answer 1

hi

first case is : 2^0 = 1, then each case is 2^ (n-1) where "n" is the number of the case.

so case 3 is 2^ (3-1) = 2^2 = 4 and case 64 is 2^ (64-1) = 2^63