Graph the six terms of a finite series where a1 = −3 and r = 1.5.

According to the site that i have tested on, the correct answer is d

Step-by-step explanation: Using a graphing calculator, it can be seen that those are the first six terms that are seen.

The nth term for the finite geometric sequence is given by:

        ....[1]

where,

is the first term

r is the common ratio of the terms.

As per the statement:

A finite series where =−3 and r = 1.5.

Substitute these in [1] we have;

where, n is the number of terms.

To graph the six terms of a finite series.

for n=1

for n = 2

For n = 3

For n = 4

For n = 5

For n= 6

Now,plot these points (1, -3), (2, -4.5), (3, -6.75), (4, -10.125), (5, -15.1875) and (6, -22.78125) on the graph as show below.

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

at least two

step-by-step explanation: