Shayla wants to refinish the floors in her kitchen. Shayla predicts she will be able to cover the room with 75 square feet of tile flooring. Will shayla be able to cover the floor with 75 square feet of tile flooring?

No

Step-by-step explanation:

Remember, she didn't take note of possible defects that may arise during actual construction, hence her prediction may be inaccurate.

Also, the 75 square feet mentioned is more likely based on approximations, and so it is best to think of possible deviation in the actual length of the room due to measurement error.

, 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