Nathan is building a tree house. He needs wooden boards that are 16.45 feet, 7.3 feet, and 12.8 feet in length. Nathan needs to make sure he buys enough wood to finish the project. What is the closest estimate of the total length, in feet, he needs? A. 30 B. 35 C. 38 D. 40

C = 38

Step-by-step explanation:

16.45 + 7.3 + 12.8

= 36.55

Closest estimate = 38

Since (B) 35 would be to little.

, 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