Two options are described below.

Option A: You receive 1¢ on the first day, 3¢ on the second day, 9¢ on the third day, 27¢ on the fourth day, and so on, tripling each day.
Option B: You receive $100 each day.
You will receive the money that is offered on day 10. Which option would you choose?

A geometric series is the sum of an unlimited number of terms with a fixed ratio between them. The second option is more profitable.

What is geometrical series?

A geometric series is the sum of an unlimited number of terms with a fixed ratio between them.

Option A: You receive 1¢ on the first day, 3¢ on the second day, 9¢ on the third day, 27¢ on the fourth day, and so on, tripling each day.

The sum of money till the 10th day will be

= a(rⁿ-1)/(r-1) = 1(3¹⁰-1)/(3-1) = 29,524¢ = $295.24

Option B: You receive $100 each day.

The sum of money till the 10th day will be = 10×$100 = $1,000

Hence, the second option is more profitable.

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Two options are described below. Option A: You receive 1¢ on the first day, 3¢ on the second day, 9¢ on the third day, 27¢ on the fourth day, and so on, tripling each day. Option B: You receive $100 each day. You will receive the money that is offered on day 10. Which option would you choose?

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What is geometrical series?

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Two options are described below.

Option A: You receive 1¢ on the first day, 3¢ on the second day, 9¢ on the third day, 27¢ on the fourth day, and so on, tripling each day.
Option B: You receive $100 each day.
You will receive the money that is offered on day 10. Which option would you choose?