write the equation of the vertical ellipse with a major axis of 20 and a minor axis of 8 and a center of (-2,6)

, 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

this may not be at all, but i use the same website you're using for school, and if i'm stuck doing one of these i try to look for it on the section.

just sum

10 + 10 = 20