Why is the absolute value of a nonzero number positive

Absolute value is how far away it is from 0. Lets use 6. -6 and 6 are the same amount away from 0, which is 6. Lets use blocks as an example: If you walk 1 block west away from your house. You walked 1 block. Now, lets say you walked 1 block east away from your house. You still only walked 1 block.  

, 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: you need to organize this better it does not make sense.

step-by-step explanation: ?