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

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.