Jordan built her cat Tuna a new scratching post. She needs to cover the post with carpet.

Step-by-step explanation:

Jordan needs  of carpet to cover the surface area of the post

see the attached figure to better understand the problem

we know that

The surface area of a prism is equal to

where

B is the area of the base of the prism

P is the perimeter of the base of the prism

h is the height of the prism

Find the area of the base B

Find the perimeter of the base P

we have the height h

substitute the values

560

step-by-step explanation:

giggidy

, 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