Question

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

Answer 1

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 2

Answer:

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

$a_n = a_1 \cdot r^{n-1}$         ....[1]

where,

$a_1$ is the first term

r is the common ratio of the terms.

As per the statement:

A finite series where $a_1$ =−3 and r = 1.5.

Substitute these in [1] we have;

$a_n =-3 \cdot (1.5)^{n-1}$ where, n is the number of terms.

To graph the six terms of a finite series.

for n=1

$a_1 = -3$

for n = 2

$a_2 = -3 \cdot (1.5)^1 = -3 \cdot 1.5 = -4.5$

For n = 3

$a_3 = -3 \cdot (1.5)^2= -3 \cdot 2.25 = -6.75$

For n = 4

$a_4 =-10.125$

For n = 5

$a_5 =-15.1875$

For n= 6

$a_6 = -22.78125$

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.