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GenaCL600 [577]
3 years ago
12

What is the sum of the arithmetic sequence 3,9,15, if there are 36 terms ...?

Mathematics
1 answer:
mezya [45]3 years ago
6 0

n = 36

a = 3

d = 3

(n/2) (2a + (n - 1)d)

(36/2) (2(3) + (36 - 1)3)

18(6+35(3))

18 x 111 = 1998

The sum is 1998


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Which function has the following characteristics?
iren [92.7K]

Using the asymptote concept, the function with a vertical asymptote at x = 3 and an horizontal asymptote at y = -\frac{1}{2} is given by:

f(x) = -\frac{x}{2(x - 3)}

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

The vertical asymptote at x = 3 means that x = 3 is a root of the denominator, hence:

f(x) = \frac{g(x)}{x - 3}

The horizontal asymptote at y = -1/2 means that:

\lim_{x \rightarrow \infty} f(x) = -\frac{1}{2}

Which happens if g(x) = -\frac{x}{2}, hence the function is:

f(x) = -\frac{x}{2(x - 3)}

More can be learned about asymptotes at brainly.com/question/16948935

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4 0
2 years ago
15/4 in to equal mixed number
Temka [501]

9514 1404 393

Answer:

  3 3/4

Step-by-step explanation:

  \dfrac{15}{4}=\dfrac{12+3}{4}=\dfrac{12}{4}+\dfrac{3}{4}\\\\=3+\dfrac{3}{4}=\boxed{3\dfrac{3}{4}}

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The integer part of the mixed number is the quotient when the numerator is divided by the denominator. The remainder from that division is the numerator of the fraction.

  15/4 = 15 ÷ 4 = 3 r 3 = 3 3/4

5 0
3 years ago
15 less than 3 times a number is the same as 5 more than half of the number. what is the number?
djverab [1.8K]

Answer:

8

Step-by-step explanation:

8x3=24

minus 15 is 9

half of 8 is 4

plus 5 is 9

therefore, the answer is 9.

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3 years ago
sara buys a sweater at a department store the sweater costs $30 the store is having a 25% off sale on everything in the store. e
tatuchka [14]

Answer:

$7.50

Step-by-step explanation:

Sara buys a sweater that costs $30

The store is having a 25% off sale.

To figure out what 25% is you do 25/100, which will give you 0.25,

Multiply 0.25 by $30

You should get $7.50.

3 0
2 years ago
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Can someone help me with this please ​
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The answer to the question is c
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