I don’t find that at all. I get the a’ha moment all too often. They literally just were never taught how any of it worked. Takes maybe 5-10 min of telling someone how it works, how the credit score works and how to manipulate it, and how to use credit without letting it get away from them.
Exponential growth is really not something that I think is immediately intuitive to people. Like, we can deal with linear things pretty intuitively, but exponential growth is not something that comes pre-baked into our heads.
The wheat and chessboard problem (sometimes expressed in terms of rice grains) is a mathematical problem expressed in textual form as:
If a chessboard were to have wheat placed upon each square such that one grain were placed on the first square, two on the second, four on the third, and so on (doubling the number of grains on each subsequent square), how many grains of wheat would be on the chessboard at the finish?
The problem may be solved using simple addition. With 64 squares on a chessboard, if the number of grains doubles on successive squares, then the sum of grains on all 64 squares is: 1 + 2 + 4 + 8 + … and so forth for the 64 squares. The total number of grains can be shown to be 2^64−1 or 18,446,744,073,709,551,615 (eighteen quintillion, four hundred forty-six quadrillion, seven hundred forty-four trillion, seventy-three billion, seven hundred nine million, five hundred fifty-one thousand, six hundred and fifteen, over 1.4 trillion metric tons), which is over 2,000 times the annual world production of wheat.[1]
This exercise can be used to demonstrate how quickly exponential sequences grow, as well as to introduce exponents, zero power, capital-sigma notation, and geometric series. Updated for modern times using pennies and a hypothetical question such as “Would you rather have a million dollars or a penny on day one, doubled every day until day 30?”, the formula has been used to explain compound interest. (Doubling would yield over one billion seventy three million pennies, or over 10 million dollars: 230−1=1,073,741,823).[2][3]
The problem appears in different stories about the invention of chess. One of them includes the geometric progression problem. The story is first known to have been recorded in 1256 by Ibn Khallikan.[4] Another version has the inventor of chess (in some tellings Sessa, an ancient Indian Minister) request his ruler give him wheat according to the wheat and chessboard problem. The ruler laughs it off as a meager prize for a brilliant invention, only to have court treasurers report the unexpectedly huge number of wheat grains would outstrip the ruler’s resources.
If it were something that were immediately intuitive, if it didn’t surprise people the first time they run into it, I don’t think it would be such a long-lasting story.
Most people understand the math.
Very few people can delay gratification.
I don’t find that at all. I get the a’ha moment all too often. They literally just were never taught how any of it worked. Takes maybe 5-10 min of telling someone how it works, how the credit score works and how to manipulate it, and how to use credit without letting it get away from them.
Honestly, I don’t know about that.
Exponential growth is really not something that I think is immediately intuitive to people. Like, we can deal with linear things pretty intuitively, but exponential growth is not something that comes pre-baked into our heads.
https://en.wikipedia.org/wiki/Wheat_and_chessboard_problem
If it were something that were immediately intuitive, if it didn’t surprise people the first time they run into it, I don’t think it would be such a long-lasting story.
I feel that’s not the same thing as Joe Plumber under standing he pays a 30% charge on the balance of his credit card.