<u>QUESTION 1</u>
The given sequence is
.
The first term of the sequence is ![a_1=3](https://tex.z-dn.net/?f=a_1%3D3)
The second term is ![a_2=-9](https://tex.z-dn.net/?f=a_2%3D-9)
The common ratio can be found using any two consecutive terms of the sequence.
Thus, the common ratio is given by
.
This implies that,
![r=\frac{-9}{3}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B-9%7D%7B3%7D)
This simplifies to,
![r=-3](https://tex.z-dn.net/?f=r%3D-3)
The correct answer is C
<u>QUESTION 2</u>
The sum of the first n terms of a geometric sequence is given by;
.
Since we are looking for the first five terms, we substitute
,
and
into the formula to obtain,
![S_5=\frac{3((-3)^5-1)}{-3-1}](https://tex.z-dn.net/?f=S_5%3D%5Cfrac%7B3%28%28-3%29%5E5-1%29%7D%7B-3-1%7D)
This will evaluate to give us;
![S_5=\frac{3(-243-1)}{-3-1}](https://tex.z-dn.net/?f=S_5%3D%5Cfrac%7B3%28-243-1%29%7D%7B-3-1%7D)
![S_5=\frac{3(-244)}{-4}](https://tex.z-dn.net/?f=S_5%3D%5Cfrac%7B3%28-244%29%7D%7B-4%7D)
![\Rightarrow S_5=3\times 61](https://tex.z-dn.net/?f=%5CRightarrow%20S_5%3D3%5Ctimes%2061)
![\Rightarrow S_5=183](https://tex.z-dn.net/?f=%5CRightarrow%20S_5%3D183)
The correct answer is A
46 is the answer good luck
P C
3 39
4 48
5 57
6 66
9(3)=27+12=39=c
9(4)=36+12=48=c
57=9p+12
-12 -12
45=9p
divide by 9 both sides 45/9=5=p
c=9(6)+12
c=54+12
c=66
Here are the answers in order
a. -15
b. -3