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Nadir saves $1 the first day of a month, $2 the second day, $4 the third day, and so on. He continues to double his savings each day. Find the amount that he will save on the fifteenth day.

Question 3 options:

$16,384

$29

$32,768

$8192

User Askb
by
5.8k points

2 Answers

6 votes

Answer:

$16,384

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.

User Christopher King
by
6.1k points
2 votes

Answer:

$16,384

Explanation:

Let's find the general equation for his savings:

The first day he saves $1 =
2^(0)

The second day, $2 = 1*2 =
2^(1)

The third day, $4 = 1*2*2 =
2^(2)

The fourth day, $8 = 1*2*2*2 =
2^(3)

In general, in the n-th day, he saves
2^(n-1)

With this, we can calculate the amount that he will save on the fifteenth day:


2^(15-1) = 2^(14) = \$16,384

User Sapph
by
5.7k points