A student decided to start saving money. On the first day he saved 1 cent, on the second day an additional 2 cents, on day 3 he saved 4 cents. Each day he doubled the amount he saved the previous day. How much would he be saving on day 20?

(Hint: The first term of the geometric sequence is 0.01 and the common ratio is 2. What is the 20th term?)

Question 1 options:

A-$3.80

B-$10,485.75

C-$5,242.88

D-$10,485.76

The correct option is option (B).

He would be saving $10,485.75.

Step-by-step explanation:

We know that,

1 cent =$ 0.01.

Geometric sequence:

                 where r>1

                       where r<1

                   =na             where r=1

Here first term(a)= $0.01, r= 2 , n=20

    =10,485.75

He would be saving $10,485.75.

so, converting firstly the mixed fractions to improper fractions and then "adding".

the answer is 99.