Respuesta :
On the first square, you have 2^0 rice grains on it.
On the second, you have 2^1 rice grains on it.
On the third, you have 2^2 rice grains on it.
Repeat this pattern.
On the 64th (last square), you have 2^63 rice grains on it.
I'm not sure how you would calculate 2^63 without a calculator...
Have an awesome day! :)
On the second, you have 2^1 rice grains on it.
On the third, you have 2^2 rice grains on it.
Repeat this pattern.
On the 64th (last square), you have 2^63 rice grains on it.
I'm not sure how you would calculate 2^63 without a calculator...
Have an awesome day! :)
Consider this geometric sequence.
1, 2, 4, 8, ...
By considering the ratio between the first and the second, and the second and the third, we can begin to see that it has an equal ratio of 2.
Using the geometric sequence formula:
[tex]T_{n} = a_1 \cdot r^{n}[/tex]
[tex]T_{n} = 1 \cdot 2^{n}[/tex]
[tex]\text{Last square occurs when n = 64: } T_{64} = 2^{64}[/tex]
This means there will be 2^64 grains on the last square.
1, 2, 4, 8, ...
By considering the ratio between the first and the second, and the second and the third, we can begin to see that it has an equal ratio of 2.
Using the geometric sequence formula:
[tex]T_{n} = a_1 \cdot r^{n}[/tex]
[tex]T_{n} = 1 \cdot 2^{n}[/tex]
[tex]\text{Last square occurs when n = 64: } T_{64} = 2^{64}[/tex]
This means there will be 2^64 grains on the last square.
