Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15.
n an
1 5
2 −10
3 20
a. the summation of 5 times negative 2 to the n minus 1 power, from n equals 4 to 15
b. the summation of 5 times negative 2 n, from n equals 1 to 15
c. the summation of 5 times negative 2 to the n plus 1 power, from n equals 4 to 15
d. the summation of 5 times negative 2 times n to the n plus 1 power, from n equals 1 to 15

step-by-step explanation:

when the line is solid:

when the line is dashed:

this > inequality sign means:

this < inequality sign means:

this > inequality sign means:

this < inequality sign means:

about the problem:

srry i'm not done ! i'll

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.

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.