Mati chooses 2021 nonzero integers at random, with replacement, and writes them on the board. She picks two of these integers at random, erases them, and writes their product on the board. What is the probability that the final integer is positive

step-by-step explanation:

their are no angles. sorry cant .

if x = 1, then the answer is 3.5

, 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

5+2x=a

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