![sn = \frac{a(1 - {r}^{n}) }{1 - r}](https://tex.z-dn.net/?f=sn%20%3D%20%20%5Cfrac%7Ba%281%20-%20%20%7Br%7D%5E%7Bn%7D%29%20%7D%7B1%20-%20r%7D%20)
hence,
65=5(1-3^n)/1-3
( multiply by -2 on both sides )
130=5(1-3^n)
26=1-3^n
27=3^n
from here, you can use lg to solve for n.
lg 27 = lg 3^n
lg 27 = n lg 3
n = lg 27 ÷ lg 3
hence, n = 3
My opinion is no because Chance is likely to account the result
Given:
Dimensions of rectangular prism X are twice the dimension of rectangular prism Y.
prism X = 2(prism Y)
Surface area of X = 2(Surface area of Y)
100 square inches = 2(Surface area of Y)
100 square inches ÷ 2 = Surface area of Y
50 square inches = Surface area of Y
Dimensions of Prism Z are three times the dimensions of rectangular prism Y.
Prism Z = 3(Prism Y)
Surface Area Z = 3(50 square inches)
Surface Area of Z = 150 square inches