Asequence is defined recursively using the equation f(n + 1) = f(n) – 8. if f(1) = 100, what is f(6)?

In this item, we assume that f(6) is the f(n + 1). Thus, n + 1 = 6. If we solve for the succeeding terms for this series given the first term which is 100, we get,

                 f(2) = 100 – 8 = 92

                f(3) = 92 – 8 = 84

               f(4) = 84 – 8 = 76

                f(4) = 76 – 8 = 68

                f(5) = 68 – 8 = 60

                 f(6) = 60 -8 = 52

Thus, the answer is 52. 

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.