St meaans s times t
s=-4
t=9
st=-4 times 9
negative times positive=negative
4 times 9=36
-4 time s9=-36
st=-36
answer is -36
This question is incomplete, here is the complete question
What is the recursive formula for this geometric sequence 2, -10, 50, -250, .... ?
The recursive formula for this geometric sequence is:
= 2;
= (-5) • 
Step-by-step explanation:
To find the recursive formula for a geometric sequence:
- Determine if the sequence is geometric (Do you multiply, or divide, the same amount from one term to the next?)
- Find the common ratio. (The number you multiply or divide.)
- Create a recursive formula by stating the first term, and then stating the formula to be the common ratio times the previous term.
The recursive formula is:
= first term;
= r •
, where
is the first term in the sequence
is the term before the nth term - r is the common ratio
∵ The geometric sequence is 2 , -10 , 50 , -250
∴
= 2
- To find r divide the 2nd term by the first term
∵ 
∴ 
- Substitute the values of
and r in the formula above
∴
= 2;
= (-5) • 
The recursive formula for this geometric sequence is:
= 2;
= (-5) • 
Learn more:
You can learn more about the geometric sequence in brainly.com/question/1522572
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Answer:
mean: 8.9, median: 9, mode: 3, range: 14, standard deviation: 5.1
Step-by-step explanation:
The mean is all the numbers added up, divided by how many numbers there are. To get the median you arrange the numbers biggest to smallest and find the middle number.
Answer:
x = 250
y = 125
u(x,y) = 3125500
Step-by-step explanation:
As given,
The utility function u(x, y) = 100xy + x + 2y
= 2 ,
= 4
Now,
Budget constraint -
x +
y = 1000
⇒2x + 4y = 1000
So,
Let v(x, y) = 2x + 4y - 1000
Now,
By Lagrange Multiplier
Δu = Δv
⇒< 100y + 1, 100x + 2 > = < 2, 4 >
By comparing, e get
100y + 1 = 2 ........(1)
100x + 2 = 4 .........(2)
Divide equation (2) to equation (1) , we get

⇒2(100y+1) = 1(100x+2)
⇒200y + 2 = 100x + 2
⇒200y = 100x
⇒2y = x
Now,
As 2x + 4y = 1000
⇒2x + 2(2y) = 1000
⇒2x + 2x = 1000
⇒4x = 1000
⇒x = 250
Now,
As 2y = x
⇒2y = 250
⇒y =
= 125
∴ we get
x = 250
y = 125
Now,
u(250, 125) = 100(250)(125) + 250 + 2(125)
= 3125000 + 250 + 250
= 3125000 + 500
= 3125500
⇒u(250, 125) = 3125500