A groundskeeper is building a circular flower bed. X
He has 250 feet of fencing.
How large of an area can he enclose?

856.3 square feet, I think

Step-by-step explanation:

Circumference = pi*2r

250 = pi*2r

250/pi = 2r

13.700916287197382721937178384958 = 2r

6.850458143598691360968589192479 = r

Area = pi*r^2

pi*6.850458143598691360968589192479^2 = 856.30726794983642012107364905986

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for