P=98 m
l +9=4w
p=2l+2w
98=2(4w-9) +2w
98 = 8w-18+2w
116=10w
w=11,6 m
l = 4w-9 = 4*11,6 -9 = 46,4 -9 = 37,4 m
w=11,6 m
l= 37,4 m
Let's start by first remembering what a "geometric sequence" is. A geometric sequence is a sequence of numbers that multiply by the same number each time. For example,
2, 4, 8, 16
is a geometric sequence since each number is multiplied by 2 from one to the next, but
2, 4, 6, 8
is NOT a geometric sequence. We are adding 2 each time, but not multiplying, so it doesn't count. We have to be multiplying to have a geometric sequence.
[A] Let's look at A, are we multiplying by the same thing?
6*3 = 18
18*3 = 54
54*3 = 162
162*3 = 486
Yes! We are multiplying by 3 each time. This is a geometric sequence!
[B] Are we multiplying by the same thing?
2*3/2 = 3
3*3/2 = 9/2 which is not 5.
NOPE
[C] Are we multiplying by the same thing?
2*5/2 = 5
5*5/2 = 25/2 which is not 8
NOPE
[D] Are we multiplying by the same thing?
-4*1/2 = -2
-2*1/2 = -1
-1*1/2 = -0.5
-0.5*1/2 = -0.25
-0.25*1/2 = -0.125
Yep, we are multiplying by 1/2 each time! This is a geometric sequence!
Answer: The correct option is 1, i.e.,
.
Explanation:
The geometric sequence is in the form of,

Where, a is the first term of the sequence and r is the common ratio of the sequence.
It means the
term of the sequence is defined as,

So the the
term of the sequence is defined as,



It means the geometric sequence is in the form of,

Where, r be any constant.
From the options only
is in the form of
with common ratio
.
Therefore, the function can be used to model the graphed geometric sequence is
.
For question 1:
Since each person is going to eat 1/4 of pizza and there are two of them, there are going to be 8 slices. There are 5 people eating, that's 5 slices gone, leaving 3.
It would be <u>D.) 3/4 pizza</u>
For question 2:
three people order the same meal. Now, if I'm correct, the meal total is AFTER the coupons were used. so that would bring total cost up to $30.75.
Divide that by 3 for all three friends:
30.75/3 = <u>D.) $10.25</u>