The coordinates of the point F are (-2,-8) and the coordinates of point G are (10,-8). What is the distance, in units, between the point F and point G? Please help me! Thanks!

12 units

Step-by-step explanation:

notice that the y coordinate (-8) is the same for both points. you can ignore it and just look at the x coordinates. To calculate the distance, you use point a minus point b, so in this case it is 10-(-2). two negatives make positive, so the answer is 12 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