The Bains' house has a deck next to the living room. What is the total combined area of the
living room and deck?
1. The deck and living room combine to form a rectangle
What is the rectangle's width?

2. Write an expression to represent the
combined length of the rectangle.
3. Write an expression to represent the combined area of the living
room and deck.

4. Use the Distributive Property to expand the product and then
simplify. What expression represents the total combined area of
the living room and deck?

, 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

it is x=-4

step-by-step explanation:

∈3,600

step-by-step explanation: