To find the height of a giant ice cream cone outside of an ice cream parlor, Jayda places a mirror on the ground 320 inches from the base of the cone. Then Jayda stepped back 28 inches so that she could see the top of the ice cream cone in the mirror. Jayda’s eyes were approximately 62 inches above the ground. What is the height of the ice cream cone? Round to the nearest whole number. (no decimal)

To find the height of a giant ice cream cone outside of an ice cream parlor, Jayda places a mirror on the ground 320 inches from the base of the cone. Then Jayda stepped back 28 inches so that she could see the top of the ice cream cone in the mirror. Jayda’s eyes were approximately 62 inches above the ground. What is the height of the ice cream cone? Round to the nearest whole number. (no decimal)

5104.38 inches

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