can someone please help answer this, thank you, will give brainliest if i can, just please no bs or spam answers, thank you, and snog please stop deleting my questions and answers or at least give me an explanation as too why, i have contacted customer support and they have said i am following guidelines.

cancel terms, multiply, and combine

, 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