Question

Anuradha and Sonakshi found an old, brass lamp that contained a magical genie. They freed the genie, and it offered them each a magical ₹1 coin as thanks.

• The magic coin turned into 2 coins on the first day.

• The 2 coins turned into 4 coins on the second day.

• The 4 coins turned into 8 coins on the third day.This doubling pattern continued for 28 days.

Anuradha was trying to calculate how many coins she would have and remembered that instead of writing 1 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 for the number of coins on the 6th day, she could just write 2 6

.

a. The number of coins Anuradha had on the 28th day is very, very large. Write an expression to represent this number without computing its value.

b. Sonakshi’s coins lost their magic on the 25th day, so Anuradha has a lot more coins than she does. How many times more coins do Anuradha have than Sonakshi?​

Answer 1

Answer:

A. Anuradha has ₹268,435,456 in total

B. Sonakshi will have ₹33,554,432

Explanation:

I just took a book and doubled the money of each day and the result came out.