Answer: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.
Answer:
The nth term for the finite geometric sequence is given by:
[tex]a_n = a_1 \cdot r^{n-1}[/tex] ....[1]
where,
[tex]a_1[/tex] is the first term
r is the common ratio of the terms.
As per the statement:
A finite series where [tex]a_1[/tex] =−3 and r = 1.5.
Substitute these in [1] we have;
[tex]a_n =-3 \cdot (1.5)^{n-1}[/tex] where, n is the number of terms.
To graph the six terms of a finite series.
for n=1
[tex]a_1 = -3[/tex]
for n = 2
[tex]a_2 = -3 \cdot (1.5)^1 = -3 \cdot 1.5 = -4.5[/tex]
For n = 3
[tex]a_3 = -3 \cdot (1.5)^2= -3 \cdot 2.25 = -6.75[/tex]
For n = 4
[tex]a_4 =-10.125[/tex]
For n = 5
[tex]a_5 =-15.1875[/tex]
For n= 6
[tex]a_6 = -22.78125[/tex]
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.
