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torisob [31]
4 years ago
5

Find the 44th term in the following arithmetic sequence : 2, 3, 4, 5, ...

Mathematics
2 answers:
Aleonysh [2.5K]4 years ago
4 0

Answer:

45

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 - 2 = 1, thus

a_{44} = 2 + (43 × 1) = 2 + 43 = 45

a_sh-v [17]4 years ago
4 0
The answer is 45

hope this helps :)
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100 points pls help
blsea [12.9K]

Answer:

  • a) 2/3p
  • b) q + 1/2p

Step-by-step explanation:

<u>Given</u>

  • AB  = p
  • AD = q

a)

  • DC /AB = 3/2 ⇒
  • DC = 3/2AB = 3/2p

b)

  • BC = AD + (DC - AB)
  • BC = q + (3/2p - p) = q + 1/2p
8 0
3 years ago
Read 2 more answers
Your friend Alex has won a scholarship to study abroad. Alex has
JulijaS [17]

The inequality that represents the amount of money Alex needs to earn is y = 11.50x and 9x + 100.

<h3>How to depict the information?</h3>

The slope and the y intercept of both of the works will be:

For the tech company:

y = 11.50x

m = 11.50

y = 11.50(8 × 20)

y = 11.50(160)

y = 1840

For the amusement park

amusement parky = 9x + 100

amusement parky = 9x + 100y = 9(320) + 100

y = 2880 + 100

y = 2980.

When he wants to make the exact amount, the number of hours will be:

9x + 100 = 2200

9x = 2200 - 100

9x = 2100

x = 233.3

Learn more about equations on:

brainly.com/question/2972832

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7 0
2 years ago
The radius of a circle is 4 in . Find it’s circumference in terms of
luda_lava [24]

Answer:

8pi

Step-by-step explanation:

The formula for circumference is the radius multiplied by 2\pi. In this case, 4\cdot 2\pi=8\pi. Hope this helps!

6 0
3 years ago
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OLEGan [10]

Ane

eabrailr  

Step-by-step explanation:

3 0
3 years ago
A stone is thrown horizontally with a speed of 15 m/s from the top of a vertical cliff at the edge of a lake. If the stone hits
pishuonlain [190]

Answer:

20 m

Step-by-step explanation:

We are given that

Initial horizontal speed ,u_x=15 m/s

Time, t=2 s

Initial vertical velocity, u_y=0

We know that

h=u_yt+\frac{1}{2}gt^2

Where g=-9.8m/s^2

Using the formula

h=0(2)+\frac{1}{2}(-9.8)(2)^2

h=-19.6 m\approx -20 m

The negative sign indicates that the displacement of stone  is in downward direction.

Hence, the height of the cliff is closest to 20 m

4 0
4 years ago
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