What is the correct answer?

right 6

down 3

Step-by-step explanation:

Take 1 point and make it go from red to blue. All the rest will do the same thing.

This is just an random choice. Choose the lowest point on the red. It is at

(-3, - 2)

Now to go to the lowest point on the blue, you start by going right from - 3 to + 3 That is 6 units to the right.

Now it also goes down. The red point is -2 for the y or down direction.

It goes down to - 5. So that's down 3 units.

, 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