Question

In a famous story, a wise man in India requests a reward promised by his king. The wise man shows the king a chessboard having 64 squares. "Put 1 grain of rice on the 1st square, 2 grains on the 2nd square, 4 on the 3rd square, 8 on the 4th square, and so on. That will be my reward."

The king readily agrees and is ruined because the total number of rice grains turns out to be about 37 trillion trillion trillion grains of rice - much more than the value of the entire kingdom. How many grains of rice go in the 14th square?

A. 16,384
B. 8192
C. 4096
D. 32,768

Answer 1

@Daniellelovee

Answer 2

I think this is direct variation formula but Im not sure

Answer 3

direct variation formula?

Answer 4

Don't think about formulas, you're trying to find a pattern here.

Answer 5

What does it look like changes as you go to the next square? See if you can find out what the common step is.

Answer 6

is it going up by 4?

Answer 7

no

Answer 8

they are going up by exponents

Answer 9

it would be A!
if they are exponents going up by 1,2,3,4,5,6,7,8,9,10,11,12,13, and 14 when it gets to 14 it'll be 16,384