Atheorem from euclid’s work relates to this particular lesson. the fact that any two lines intersect at exactly one point applies directly to systems of linear equations. explain how this geometric theorem applies to the algebraic topic of systems of equations.

The geometric theorem about intersecting lines applies to systems of linear equations because if a system of linear equations has a unique answer, it will be the point of intersection. That is, the point where the two lines intersect, the unique point, is the solution to the system.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2