Ab lies on a number line. the coordinate of point a is -6. given that ab= 20, what are the two possible coordinates for point b?

The fact that you must remember is that these points lie on a plane that have a a distance that is ALWAYS an absolute value.  If point A lies on -6 you can have two points that are of a distance 20 points in either direction.  If moving the left, point B can have a value of -26 and moving to the right, point B will have a value of 14.  Hope this is clear!

Good luck!

What are the following algebraic equations. you need to post those if you want the answer

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

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