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.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

191 students play sports and ninety-seven 10th graders were surveyed.

step-by-step explanation: