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uranmaximum [27]
3 years ago
9

Evaluate the summation of 3 times negative 2 to the n minus 1 power, from n equals 1 to 5. A) −93. B) −33. C) 33. D) 93

Mathematics
2 answers:
USPshnik [31]3 years ago
8 0

Answer:

(C)33

Step-by-step explanation:

The given summation can be written as:

\sum_{n=1}^{5}3(-2)^{n-1}

Putting the values of n from 1 to 5 in the above equation, we get

=3(-2)^0+3(-2)^1+3(-2)^2+3(-2)^3+3(-2)4

=3+(-6)+3(4)+3(-8)+3(16)

=3-6+12-24+48

=33

Thus, the value of the given summation \sum_{n=1}^{5}3(-2)^{n-1} is 33.

Hence, option C is correct.

lions [1.4K]3 years ago
4 0
∑ ( from n = 1 to n =5 ) 3 · ( -2 ) ^( n -1 )
a 1 = 3 · ( -2 ) ^0 = 3
a 2 = 3 · ( - 2 ) = - 6
a 3 = 3 · 4 = 12
a 4 = 3 · ( - 8 ) = - 24
a 5 = 3 · 16 = 48
3 - 6 + 12 - 24 + 48 = 33
Answer: C ) 33
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lawyer [7]

Answer:

#1 c. -1

#2 b. 1 is less than or equal to x which is less than or equal to three

#3 a. 37.5 is less than or equal to y which is less than or equal to 87.5

#4 b. 3

#5 b. (2, 3, 4, 5, 6)

#6 d. (45, 55, 65, 75, 85)

Step-by-step explanation:

Domain is the x value and y is the range. For #1 the answer is c because you can't go golfing for -1 hours. For #2, the answer is b because they are all the acceptable values for the domain which is represented by x and x is the time spent at the golfing bay. The answer would not be c because you could go to the bay for 2.75 hours it doesn't have to be just 1, 2, 3.  For #3 the concept is similar because the range aka total cost can be all the values in between 37.5 and 87.5. For #4  a reasonable domain value which is number of people is 3 because you can't have 2.5 people and you can't have -4 people and thus all of the above isn't possible leaving three. #5 is b because you can only have those set numbers to represent people. If you chose a that would mean you could have 1.5 people which isn't possible thus only numbers 2, 3, 4, 5, and 6 are possible. For #6 The answer is d because when you plug in numbers 2, 3, 4, 5, 6 into the x value one at a time and solve the equation, those numbers equal t. Just use your basic knowledge to figure these out there isn't much math you just have to know that domain means x and range means y. y is 9/10 always by itself on one side of the equal sign. When in doubt think, can I have a half a person. Think of the real world and apply to math. Goof luck on future problems!

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3 years ago
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3 0
3 years ago
The compound inequality 8.00 ≤ x < 9.50 represents all values, x, for which college students are paid hourly as teacher assis
Orlov [11]

Answer: x≥ 8.00 and x < 9.50 is the correct option.

Step-by-step explanation:

Since, given expression 8.00 ≤ x < 9.50

Where x is the value for which college students are paid hourly as teacher assistants.

so, x is greater than or equal to 8.00

Therefore, x\geq 8.00  

And, x is less than 9.50

Therefore,  x < 9.50

On combining both expression we get,  x\geq 8.00 and x < 9.50.

Thus, Third Option is correct.


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