# Every Doubling is Greater Than All Previous Doublings Combined

check this out.

### 2 > 1

![](https://s3.amazonaws.com/img.courses.warmersun.com/progressandpredictions/expSlide1.png)

### 4 > 1+2

![](https://s3.amazonaws.com/img.courses.warmersun.com/progressandpredictions/expSlide2.png)

### 8 > 1+2+4

![](https://s3.amazonaws.com/img.courses.warmersun.com/progressandpredictions/expSlide3.png)

### 16 > 1+2+4+8

![](https://s3.amazonaws.com/img.courses.warmersun.com/progressandpredictions/expSlide4.png)

Going back to the wheat on the chessboard example, the first square on the second half of the chessboard has more grain than the entire first half.\
(The number of grans on the second half of the chessboard is equal to the square if tge number of grains on the first half of the board, plus itself.)


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