What is the nth term rule of the quadratic sequence below? 6, 12, 20, 30, 42, 56, 72

can you put the explanation too please (not needed but would be appreciated) :))

It goes +6 +8 +10 so the second differance is 2 you half the second difference to get n^2
You write out the values for n^2
1 4 9 16
Compare with first sequence
6 12 20 30
The difference between these two is +5 +8 +11 and you see this is linear now you solve this to get 3n+2
You add the n^2 to get n^2+3n+2

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph

there is a hike in both the graphs so the graphs are increasing on their domain.x-intercept of log x and log 6x are differentthere is a vertical asymptote of both the graphs so there is no y-interceptas both the graphs are increasing so there is no horizontal asymptote