Exploring Some Geometric ThemesClass 8 Mathematics Flashcards

16 Cards
1/16Known: 0/160%
Question

What is the formula for RnR_n, the number of remaining squares at the nn-th step of the Sierpinski Carpet?

Tap to reveal answer

Answer

The formula is Rn=8nR_n = 8^n where R0=1R_0 = 1. This is because each remaining square from one step gives rise to 8 new squares in the next step.

Tap to see question