Find the first five terms of the recursive sequence
an=-6an-1 where a1=4.5

4.5, -27, 162,-972, 5832

Step-by-step explanation:

The given recursive definition is,

This will form a geometric sequence with first term 4.5 and common ratio r=-6.

When n=2, we have:

When n=3, we get:

When n=4, we get:

When n=5, we get:

Therefore the first five terms are:

4.5, -27, 162,-972, 5832

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

step-by-step explanation: