Answer:
$16,384
Step-by-step explanation:
The amount of money Nadir saves increases exponentially by a factor of 2. If you keep multiplying each previous number by 2 until you get to the 15th number, (2*2, 4*2, 8*2, 16*2), you will get 16,384.
Answer:
$16,384
Step-by-step explanation:
Let's find the general equation for his savings:
The first day he saves $1 = [tex]2^{0}[/tex]
The second day, $2 = 1*2 = [tex]2^{1}[/tex]
The third day, $4 = 1*2*2 = [tex]2^{2}[/tex]
The fourth day, $8 = 1*2*2*2 = [tex]2^{3}[/tex]
In general, in the n-th day, he saves [tex]2^{n-1}[/tex]
With this, we can calculate the amount that he will save on the fifteenth day:
[tex]2^{15-1} = 2^{14} = \$16,384[/tex]
