Desperate need (08.01)
two lines, c and d, are represented by the following equations:

line c: y = x + 5
line d: y = −2x − 1

which of the following options shows the solution to the system of equations and explains why?
(−2, 3), because the point does not lie on any axis
(−2, 3), because both lines pass through this point
(−2, 3), because one of the lines passes through this point
(−2, 3), because the point lies between the two axes

, 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

7 is the median   7.875 is the mean

step-by-step explanation:

3,4,5,6,8,11,13,13