A certain arithmetic sequence has this explicit formula for the nth term: an = 11 + (n - 1)(4)
The same sequence has this recursive formula:
an = an-1 +
What number belongs in the blank space in the recursive formula?

where are the graphs?

step-by-step explanation:

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.

i'll be glad to : )