Does the following infinite geometric series diverge or converge? explain. 6 + 24 + 96 + 384 + . .

Diverge

Step-by-step explanation:

6 + 24 + 96 + 384 + . . .

6* 4= 24

24* 4= 96

common ratio is 4

 the formula for nth term is

a_1 is the first term and r is the common ratio

If common ratio (r) is between 0  and 1  then series is converging

if common ratio (r) is greater than 1 then series is diverging

We know common ratio r= 4

4 > 1 so series is diverging

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

step-by-step explanation:

this is not possible to solve with the info given.   you need at least an one angle somewhere.