Question

Math help no guesses how do u solve it plz

The first figure of the Sierpinski triangle has one shaded triangle. The second figure of the Sierpinski triangle has three shaded triangles. The third figure of the Sierpinski triangle has nine shaded triangles. Which summation represents the total number of shaded triangles in the first 15 figures?

Answer 1

A

Explanation:

egde 2020

Answer 2

see below

Explanation:

You want terms that have a common ratio of 3, so the term in the summation will be 3 to some power. Only the first expression matches that requirement.

You can try different values of n to see if they fit the problem description.

n = 1: 1(3)^0 = 1(1) = 1

n = 2: 1(3)^1 = 1(3) = 3

n = 3: 1(3)^2 = 1(9) = 9 . . . . . the third triangle in the set has 9 shaded triangles, as this expression predicts. Thus, we see the problem description being matched by the first answer choice shown.