Question

Square 33 is the first square in Row 5, the first square of the second half of the chessboard. How many pennies are on square 33?

Answer 1

Answer:

$2^{32}$ is the answer.

Step-by-step explanation:

If we put a penny on the first square of a chess board, 2 on second, six on third and we keep on doing double for the next square then it will form a geometric sequence in the form of $T_{n}=2^{n-1}$

1, 2, 4, 8, 16.........n terms

Now we have to calculate the pennies on square 33 that will be

So pennies on 33rd square will be

$T_{33}=2^{33-1}=2^{32}$