Position abc label the triangle on the coordinate plane right LMN with hypotenuse MN 5a units and base LM 3a units

see the explanation

The graph in the attached figure

Step-by-step explanation:

we know that

In the right triangle LMN

Applying the Pythagorean Theorem

we have

substitute

The graph in the attached figure

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb