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ANEK [815]
3 years ago
11

Ind an expression for the nth term (t_n) in each of the following​

Mathematics
1 answer:
Mazyrski [523]3 years ago
5 0
<h3><u>Answer:</u></h3>

\boxed{\pink{\tt\longmapsto The \ nth \ term \ of \ the \ sequence\ is \ given \ by \ frac{1}{n}}}

<h3><u>Step-by-step explanation:</u></h3>

A sequence is given to us is , and we need to find expression for nth term of the sequence. The given sequence is ,

\bf 1 , \dfrac{1}{2},\dfrac{1}{3},\dfrac{1}{4},\dfrac{1}{5},\dfrac{1}{6}

When we flip the numbers , we can clearly see that the number are in Harmonic Progression.

That is when we flip the numbers they are found to be in Arithmetic Progression .

<u>And nth term of an Harmonic Progression is </u><u>:</u><u>-</u>

\boxed{\purple{\bf T_{(Harmonic \ Progression)} = \dfrac{1}{a+(n-1)d}}}

Hence here

  • Common difference = 1
  • First term = 1 .

Substituting the respective values,

\bf\implies T_{n}= \dfrac{1}{a+(n-1)d} \\\\\bf\implies T_{n} = \dfrac{1}{1+(n-1)1}\\\\\bf\implies T_n = \dfrac{1}{1+n-1}\\\\\bf\implies\boxed{\red{\bf T_{n}=\dfrac{1}{n}}}

<h3><u>Hence</u><u> </u><u>the</u><u> </u><u>nth</u><u> </u><u>term</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>sequ</u><u>ence</u><u> is</u><u> given</u><u> by</u><u> </u><u>¹</u><u>/</u><u>n</u><u> </u><u>.</u><u> </u></h3>
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Dmitriy789 [7]

Answer:

pretty sure it is c but might wrong

Step-by-step explanation:

4 0
2 years ago
A traveler pulls a suitcase, as shown in the figure.
hjlf

Answer:

2758 Nm

Step-by-step explanation

Work done usually depends on two things force applied and distance travelled due to applied force. In this current scenario, the force is being applied at an angle so we will have to find a component of force in the direction of the movement.

We usually find component using cos θ.

Here θ is 40°

Now, the modified equation becomes,

Work Done = Force * Distance * Component of force along the direction of distance

∴ Work = 30 N * 120 m * Cos 40°

⇒Work = 30 * 120 * 0.766

⇒Work = 2757.6 Nm

Rounding to the nearest whole number.

∴ The work done by force is 2758 Nm which is option B

4 0
2 years ago
The table shows some values of f(x) and g(x) for different values of x: x f(x) = 15x − 12 g(x) = 3x −2 0.11 −1 −27 0.33 0 −12 1
Serhud [2]

Answer:

X=1 or C

I hope this helps:)

8 0
3 years ago
Jada's sister works in a furniture store.
Bingel [31]

Answer:

1) $16.35

2) 75%

3) $245  

Step-by-step explanation:

1) Jada earns = $15 per hour

  9% increase = 15 * 9/100 = $1.35

  Increased Jada's pay = 15+1.35 = $16.35

2) Markup = selling price - cost= $350 - 200= $150

   Markup % = \frac{sale price - cost }{cost}*100 \

                      = \frac{150}{200}*100 = 75%

3) Jada's sister commission is 3.5% of $7000

          = \frac{3.5}{100}* 7000

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5 0
2 years ago
PLEASE HELP WILL GIVE THANKS AND FIVE STARS IF RIGHT ANSWER
Vika [28.1K]

(x+4)^2 / 9 - (y+3)^2 / 16 = 1


a^2 = 16 and b^2 = 9

a = +4 and -4

b = +3 and -3


Center is (-4, -3)

Vertices is (-4 + a, -3) and (-4 - a, -3)

Vertices is (-1, -3) and (-7, -3)

8 0
3 years ago
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