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LekaFEV [45]
3 years ago
6

The general term for the sequence 3/4,6/5,9/6,12/7,15/8

Mathematics
1 answer:
Ronch [10]3 years ago
3 0

Answer:

B . \frac{3 n}{n+3}

Step-by-step explanation:

<u>Arithmetic sequence</u>:-

Step1:

Given sequence is \frac{3}{4} ,\frac{6}{5} ,\frac{9}{6} ,\frac{12}{7} ,\frac{15}{8}

Above sequence taking numerator terms

3,6,9,12,15 are in arithmetic progression

First term a= 3 and difference d = 3

now n t h term of given sequence is

t_{n} =a+(n-1)d

now substitute a =3 and d=3

t_{n} = 3+(n-1)3 = 3+3 n-3=3n

Step2:-

Above sequence taking denominator

4,5,6,7,8...

here a=4 and d=1

t_{n} =a+(n-1)d

t_{n} =4+(n-1)1

t_{n}=3+n

Final answer is the general term of given sequence is

t_{n} = \frac{3n}{3+n}

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Solve similar triangles (advanced)<br> Solve for x<br> x=?
lesya692 [45]

Answer:

x = 1.2

Step-by-step explanation:

AD/AB = DE/BC (Similarity Theorem)

AD = 6 + 4 = 10

AB = 6

DE = 2

BC = x

Plug in the values

10/6 = 2/x

Cross multiply

10*x = 2*6

10x = 12

Divide both sides by 10

x = 12/10

x = 1.2

8 0
3 years ago
17. Evaluate each pair of expressions.<br> a. (-3)-8 and -3-8<br> b. (-3)-9 and -3-9
Semmy [17]
A = -11
B= -12

This is because of how calculations work in negatives. Because they are both negative they work similarly to addition
5 0
3 years ago
before tomorrow can I have a quick answer and maybe an explanation on how to answer these kinds of questions overall? need some
MA_775_DIABLO [31]

Answer:

  a) maximum; the parabola opens downward

  b) positive; it must lie above the x-axis

  c) x = 1.5

Step-by-step explanation:

The x-intercepts of a function are the points where the graph of the function crosses the x-axis. The y-values there are zero.

The "differences" of a function are related to the average slope between adjacent points. Second differences are related to the rate of change of the slope of the function. When <em>second differences are negative</em>, as here, the slope of the quadratic function is decreasing, becoming more negative. We say the <em>curvature</em> of the function is <em>negatve</em>, and that it <em>opens downward</em>.

__

<h3>a, b.</h3>

If the graph of the parabola opens downward, and it crosses the x-axis, it must have a <em>maximum</em> that is a <em>positive value of y</em>.

__

<h3>c.</h3>

The graph of a parabola is symmetrical about its vertex. That means points on the same horizontal line are the same distance from the line of symmetry, which must go through the vertex. The x-coordinate of the vertex will be the x-coordinate of the midpoint between the two x-intercepts:

  x = (-2 +5)/2 = 3/2

The x-coordinate of the vertex is x = 1.5.

______

<em>Additional comment</em>

The attachment shows a table with three evenly-spaced points on the curve. The calculations show first differences (d1) and second differences (d2). You can see that the sign of the second diffference is negative, in agreement with the given conditions.

3 0
2 years ago
These numbers are either whole numbers, or negatives of whole numbers. They are called_______.
Gala2k [10]
I think that the answer is integers.
6 0
3 years ago
Read 2 more answers
Divide the following problem by hand (long division). Report your answer as a decimal (not remainder). (Show your work).
Agata [3.3K]

Answer:

122.88

Step-by-step explanation:

<u>3072</u>

25

122.88 sorry I forgot how to show all the work I love my calculator but hopefully the answer you need will help.

4 0
3 years ago
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