With sequences and series problem!

In an arithmetic sequence, consecutive terms are separated by a common difference and are given recursively by

So we can write in terms of by substituting recursively:

and so on up to

(notice how in , it's always true that and add up to 51)

We're given that and , so we can solve for :

We can use the same strategy to find the first term in the sequence:

and so on up to

In general, the sequence has a pattern of

and so on up to

So this sequence is given by the rule

answer: check all that apply, where the options?

step-by-step explanation: