1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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
You might be interested in
The cost of pumpkin seeds is proportional to
zheka24 [161]

Answer:

Part 1) The unit rate is  \$0.25\ per\ ounce

Part 2) A 56 ounce bag of pumpkin  Seeds cost $14.00

Step-by-step explanation:

Part 1) What is the unit rate  for the pumpkin seeds?

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

Let

y ----> the cost of pumpkin seeds in dollars

x ---> the weight in ounces

we have

For x=24 ounces, y=$6

Find the value of the constant of proportionality k

k=\frac{y}{x}

substitute the values

k=\frac{6}{24}=\$0.25\ per\ ounce

The unit rate is the same that the constant of proportionality k

therefore

The unit rate is

\$0.25\ per\ ounce

Part 2) How much would 56. ounce bag of pumpkin seeds cost?

we know that

The linear equation is equal to

y=0.25x

For x=56 ounces

substitute in the linear equation and solve for y

y=0.25(56)=\$14.00

6 0
3 years ago
The function h(x) is given below.
Nutka1998 [239]

Answer:

Step-by-step explanation:

I wish I knew :(

8 0
3 years ago
I need help, please help me soon<br><br> 12/18/2020<br> 2:06 pm [Eastern time]
Anestetic [448]

Answer: its not 22 its 25

Step-by-step explanation: if it not correcnt than sorry wrong answer

4 0
3 years ago
Read 2 more answers
A stadium has 49000 seats. Seats sell for $25 in section A, $20 in section B, and $15 in section C. The number of seats in secti
eimsori [14]

Answer:

A stadium has 49000 seats.  

Seats sell for $25 in Section A, z

$20 in Section B,-------------------x seats

$15 in Section C. ------------------y seats  

(x+y)=z  

25(x+y)+20x+15y=1052000

25x+25y+20x+15y=1052000

45x+40y=1052000

/5

9x+8y=210400------------------1

2x+2y=49000

/2

Step-by-step explanation:

4 0
3 years ago
Please explain
BartSMP [9]
24-3x=-27
-24 -24
-3x=-51
— —
-3 -3

X=17
7 0
3 years ago
Other questions:
  • 27x to second power-42x+12 if x=2
    14·1 answer
  • This Data set represents the number
    12·1 answer
  • How do you graph y=-3x+2 y=2x-3
    15·1 answer
  • Do I just divide by 4?
    11·2 answers
  • To the nearest hundred, what is the greatest whole number that rounds to 2,500 to the least who.e number?
    8·2 answers
  • Which type of graph would be best used for showing the percentage of students in each grade level at a middle school
    10·1 answer
  • The sunshine Club collected 524 cans for a canned food drive. the cans were then split up equally into 8 boxes.
    15·1 answer
  • The volume of the world's oceans is nearly 1.5 x 10^9 cubic kilometers. Write this number in scientific notation.
    8·1 answer
  • Will mark brainly. Correct ans only.
    11·1 answer
  • Express the confidence interval 0.444
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!