The secret of getting pocket money of 100 million
Jenny fancied an Anker Nebula Capsule! A smart, Wi-Fi, mini portable movie projector, with a 360° speaker and 100-inch picture.
She wanted to impress her friends at a stay-over by watching a movie on Nebula!
She counted her pocket money for the nth time! But it just did not grow!
She racked her brains until her head hurt and wondered if her pocket money could grow by some magic trick!
The thought of a TRICK made Jenny sit up! She recalled this person selling a pyramid scheme to more than double your money! What if I take my pocket money according to that scheme?
She told her father that instead of giving her pocket money at the beginning of the month, could he consider giving her a daily allowance?
Her father was curious to know what she had in her mind.
"It’s simple,'' she said. Beginning of the month, on the 1st, give me only one cent, and the next day, i.e., 2nd, give me 2 cents, on the third day 4 cents, and so on till the 30th.
Her father asked her how much would she get on the 30th?
Jenny stammered, “I don’t know. Will it be more than 400 bucks?”
Her father laughed and said that the amount would be around 108 Million dollars, exactly $107,37,418.23!
Jenny felt dizzy. She wondered how this is possible.
Her father told her that a wise man tried to trick the King by asking him to put one grain of wheat on the chessboard and keep doubling it in the next square. The
King would have to give the wise man 18446744073709551615 grains and 53,49,55,59,737.57698 Kg of wheat!
In school, my favourite subject was math. That's where I learned to count the money.
Her father told her that this fascinating PATTERN OF DOUBLING is also called EXPONENTIAL GROWTH.
Jenny was full of awe, but her heart sank! She had lost her dream Nebula Capsule.
Her father seemed to read her mind.
He asked her how many days would it take for her to get $400. If she answered that correctly, her father would honour the pattern of doubling for that many days!
Do you want to make a guess?