You want to put a fence around your field. the cost of fencing is $60 per meter. the length of the field is 50 meters. if the length of the field is twice the width, determine the cost of fencing the entire field.

, 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

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.