Scarlett bought an ant farm with 80 ants. Frond the following week forward, the ant population tripled every week. Let g(n) be the number on ants in scarletts farm in the nth week since she got it. G is a sequence. What kind is it? Write an explicit formula for the sequence starting with g(n)=? Need help really bad

g(n)=80*3^(n-1)

Step-by-step explanation:

Scarlett started with 80 ants

That is, first term (a)=80

The ant population tripled every week.

First week: 80×3=240

Second week=240×3=720

Common ratio=720/240=3

Or

240/80=3

Therefore, r=3

G is a geometric sequence

Geometric sequence is given by

g(n)=a*r^(n-1)

Substitute a=80 and r=3 into the equation

g(n)=a*r^(n-1)

g(n)=80*3^(n-1)

The explicit formula for the sequence is

g(n)=80*3^(n-1)

it has to be a.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c