Exponential Growth in Chessboard Story

The video tells the story of King Sharam of India and his Grand Vizier, who presented him with the game of chess. The Vizier requested a seemingly modest reward: grains of wheat doubled on each square of the chessboard. This request demonstrated exponential growth, as the amount of wheat required quickly became astronomical, eventually surpassing the resources of the kingdom. The story illustrates the power of exponential growth and its surprising outcomes.

What is the main concept introduced at the beginning of the story?

• The role of a Grand Vizier

• The life of King Sharam

• The power of exponential growth

• The history of chess

What did King Sharam offer to his Grand Vizier as a reward?

• To name his own reward

• A chest of gold

• A royal title

• A new palace

What was the Grand Vizier's request to the King?

• A grain of wheat on each square of the chessboard

• A new kingdom

• A new set of chess pieces

• A royal feast

At which square did the King start to feel concerned about the amount of wheat?

• 26th square

• 64th square

• 42nd square

• 17th square

What did the court mathematician reveal to King Sharam?

• The wheat would fill the palace

• The wheat would be enough for a feast

• The wheat would be a small pile

• The wheat would cover all of India

How far would the grains of wheat stretch if laid end-to-end?

• To Alpha Centauri and back

• Around the Earth

• To the edge of the solar system

• To the moon and back