The first term in an arithmetic sequence is 5. The third term in the sequence is –1. The tenth term in the sequence is –22. Chris said that the recursive formula for this sequence could be described as, "to find the next term of the sequence, add -3 to the previous term." Do you agree or disagree that this statement is equivalent to the explicit formula from Question 15? Explain.

, 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

answer: 12x^2+6x

step-by-step explanation:

6x does not equal 24x. hope it works!