How do I prove that a line cannot intersect all 3 of the sides of a triangle at interior points?

Write a recursive sequence that represents the sequence defined by the following explicit formula:

Find the constant of variation for the relation and use it to write an equation for the statement. then solve the equation.

Determine the common ratio and find the next three terms of the geometric sequence. 10, 2, 0.4, a. 0.2; -0.4, -2, -10 c. 0.02; 0.08, 0.016, 0.0032 b. 0.02; -0.4, -2, -10 d. 0.2; 0.08, 0.016, 0.0032 select the best answer from the choices provided a b c d