Flash Cards: Power Play

The thickness of the paper doubles with each fold.

The initial thickness of the paper is 0.001 cm.

After 30 folds, the thickness is approximately 10.7 km.

A sheet of paper can typically be folded a maximum of 7 times.

The thickness increases by a factor of 1024 from 0 to 10 folds.

Exponential growth occurs when a quantity increases at a rate proportional to its current value, like the thickness of folded paper.

The thickness can be expressed as 0.001 cm × 2^n, where n is the number of folds.

After 3 folds, the thickness increases by 8 times (2^3).

After 20 folds, the thickness is approximately 10.4 m.

After 17 folds, the thickness is approximately 131 cm.

After 14 folds, the thickness is 16.384 cm.

The thickness exceeds 700,000 km after 46 folds.

The relationship is multiplicative; thickness doubles with each additional fold.

Thickness increases from approximately 10.7 km at 30 folds to 10,995 km at 40 folds.

It exemplifies the concept of exponential growth.

Physical limitations and the thickness of the paper constrain the number of folds.

Doubling is the basis for determining the thickness after each fold.

After 26 folds, the thickness is approximately 670 m.

A practical limit is reached due to the decreasing size of the resulting folds.