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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
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10 hours

Step-by-step explanation:

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90 minutes / 45 pages has to be equal to an equivalent fraction where we have 300 pages

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3 years ago
I bought a box of granola bars at the store that has a volume of 210 cubic centimeters
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Answer:

a and c

Step-by-step explanation:

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a

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b

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Sam and Lou need a total of 1 foot of wire for a science project. Sam's wire measured 7/8- foot long. Do they have enough wire f
Reil [10]

Answer:

Yes, Sam and Lou have enough wire for science project.

Step-by-step explanation:

<u><em>There is some data missing in the question, so complete question is below:</em></u>

Sam\ and\ Lou\ need\ a\ total\ of\ 1\ foot\ of\ wire\ for\ science\ project.Sam's\ wire\ measured\ 8/12\ foot\ long.\ Lou's\ measured\ 7/8-\ foot \ \ long.Do\ they\ have\ enough\ wire\ for\ the\ science\ project?Explain \ your\ reasoning.

Now, to get that whether they have enough wire for the science project or not.

Measurement of Sam's wire = \frac{8}{12} \ foot.

Measurement of Lou's wire = \frac{7}{8}\ foot.

Now, adding both the wires of Sam and Lou:

\frac{8}{12} +\frac{7}{8} \\\\=\frac{16+21}{24} \\\\=\frac{37}{24}

=1\frac{13}{24} \ feet.

<em>As, Sam and Lou need a total of 1 foot of wire for the science project.</em>

<em>And, we see that the Sam's wire and Lou's wire combining gets </em>1\frac{13}{24}\ feet<em> which is</em> <em>more than 1 foot.</em>

<em>Thus, wire they have is enough for science project.</em>

Therefore, yes, Sam and Lou have enough wire for science project.

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3 years ago
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