Acan of soup is in the shape of a cylinder. the diameter of the can is 8 centimeters, and the height is 10 centimeters. what is the surface area of the can, rounded to the nearest hundredth square centimeter? (use 3.14 for π.) 351.68 cm 2 251.2 cm 2 502.4 cm 2 100.48 cm 2

The surface area of the can is

Step-by-step explanation:

we know that

The surface area of a cylinder (can of soup) is equal to

we have

----> the radius is half the diameter

substitute the values

answer:

step-by-step explanation:

, 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