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
Varvara68 [4.7K]
3 years ago
10

The sum of the first n consecutive even numbers can be found using S = n2 + n, where n ≥ 2.

Mathematics
2 answers:
riadik2000 [5.3K]3 years ago
7 0

Answer:

Value of n when sum is 156 is 12

Step-by-step explanation:

Given: function to find sum of first n consecutive even numbers, S = n² + n where n ≥ 2

To find: value of n when Sum = 156

Consider, the function

S = n² + n

156 = n² + n

n² + n - 156 = 0

n² + 13n - 12n - 156 = 0

n ( n + 13 ) - 12 ( n + 13 ) = 0

( n + 13 )( n - 12 ) = 0

So, n + 13 = 0    nd     n - 12 = 0

⇒ n = -13    and  n = 12

n cannot be less than 2, So, value of n = 12

Therefore, Value of n when sum is 156 is 12

viktelen [127]3 years ago
3 0
The following are the choices on this question:
 A.6
 B. 39
 C. 26
 D. 12   
The answer is option D. 12.

Check this out:
S=n² + n
S= 12² + 12
     (you can get the square of 12 by multiplying 12 by itself: 12 × 12)
S=144 +12
S=156
You might be interested in
IF U GET RUGHT AND ANSWER FAST U WILL GET BRAINLIEST
san4es73 [151]

Answer:

7/66

Step-by-step explanation:

The probability of picking one girl would be 5/12 That is because there are 5 girls out of the 12 students, and the probability of an event occuring is:

of things you want/of things are possible

Using that same logic, the next student should be easier. We reduced the student population by 1, so we have 11 possible ways it can happen now instead of 12, so that gives us 7/11 for the probability of picking a boy as the second pick.

And lastly, using the same logic shown above, the probability of picking a girl on the third pick would be: 4/10

We are not done, though. We have the separate probabilities, but now we have to multiply then together to figure out the probability of this exact event happening:

5/12 * 7/11 * 4/10 = 140/1320

Which when reduced is: 7/66

5 0
3 years ago
Read 2 more answers
PLZ HELP (-8x-6)-4 to the 2nd power
Sindrei [870]

Answer:x=-0.75

Step by step: 4 to 2nd power multiple 4 by 4 you get 16 so (-8x-6)16 multiply 16 to -6 and -8x and so on...

3 0
3 years ago
12u + -8u = -20 solve for u
jekas [21]

u= -5

12u -8u=-20

4u=-20

u=-20/4

u=-5

hopes this helps,

Xeno

7 0
2 years ago
Read 2 more answers
Which situation shows a constant rate of change? A. The number of points scored in a basketball game compared with the number of
bezimeni [28]

Answer: D

Step-by-step explanation:

A constant rate of change means that for every x, y increases the same amount.

In the situation "The amount a person pays for gas compared with the number of gallons purchased ," the independent quantity, or x-value, is the number of gallons, and the dependent quantity, or y-value, is the amount paid.  Since gas has a set price per gallon, for every gallon purchased, the total amount paid goes up the same amount.  This means it has a constant rate of change.

8 0
3 years ago
Given f(x)=4x^2 and g(x)=-1/5x^2 choose true or false
mamaluj [8]

it is gonna be c trust me I know for a fact

7 0
3 years ago
Read 2 more answers
Other questions:
  • Samuel’s father is four years older than double Samuel’s age. their age difference is 22 years. how old are they
    13·1 answer
  • Which sets of side lengths could form a triangle
    5·1 answer
  • Solve equation check solution 3(-2k-2)=-2(4K-11)
    9·1 answer
  • If the diagram points E A and B are colinear and the areas of square ABCD and right
    5·1 answer
  • Taylor asked for a fish tank for his birthday the tank he wants is a rectangle or prism 20.25 inches long 10.5 inches wide and 1
    13·1 answer
  • 1. Given f(x) = 3x - 1 and g(x)= -x + 6, find f(-2) + g(5).<br><br> A. -6<br> B. 6<br> C. 8
    13·1 answer
  • HELLLLLLLLLLLLLLLLLLLPPPPPPPPPP
    7·1 answer
  • What is 15 / 79. SHow your work
    14·2 answers
  • Tatiana ran the marathon with an average speed of 0.09 miles per minute. What was her speed to the nearest mile per hour?
    5·1 answer
  • Point T is in the interior of \angle∠RSV. The m\anglem∠ RSV = 125^o o and m\anglem∠ RST = 62^o62 o , what is m\anglem∠ TSV?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!