What are the coordinates of the point on the directed line segment from (-2, -8) to (5, -1) that partitions the segment into a ratio of 1 to 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

1k

step-by-step explanation:

-6k+7k

(-6+7)k

1k

the answer to this would be 5x^3-6x^2-24 over 3x^2

hope this if needed hmu