Tom's father is carpeting a rectangular room that has an area of 240 square feet. The width of the room is 15 feet. How long is the room?

16 feet is the length of the room

Step-by-step explanation:

to find area, you do length x width. If you are trying to find L in L x W = A then you have to divide 240 by 15 to get 16 feet as the length

what is the answer?

, 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