If you divide a positive and a negative number the quotient will be negative

correct

Step-by-step explanation:

if you are dividing between two numbers and one of them is negative, then the answer is negative. If there are two negatives being divided, on the other hand, they will cancel out and the quotient will be positive. It's the same way for multiplication

, 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