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liubo4ka [24]
2 years ago
13

Two arithmetic means between 3 and 24 are -

Mathematics
1 answer:
defon2 years ago
8 0

The value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.

<h3>What is arithmetic mean?</h3>

Arithmetic mean is the mean or average which is equal to the ratio of sum of all the group numbers to the total numbers.  

The two arithmetic means between 3 and 24 are has to be inserted.

3, A₂, A₃, 24

All the four numbers are in arithmetic progression. The nth terms of AM can be found using the following formula:

t(n)=a(n-1)d

Here, d is the common difference a is the first terms and n is the total term.  The first term, a=3 and t₄=24. Thus, the common difference is;

t(n)=a(n-1)d\\t(4)=3(4-1)d\\24=3(3)d\\24=9d\\d=\dfrac{24}{9}

The second and 3rd term are:

A₂=3+\dfrac{24}{9}=\dfrac{51}{9}\\ A₃=\dfrac{51}{9}+\dfrac{24}{9}=\dfrac{75}{9}

Thus, the value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.

Learn more about the arithmetic mean here;

brainly.com/question/14831274

#SPJ1

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Two terms of an arithmetic sequence are a10=16 and a35=66 find the sum of the first 75 terms
andrew11 [14]

The sum of the first 75 terms of the arithmetic sequence that has 10th term as 16 and the 35th term as 66 is 5400.  

<h3>How to find the sum of terms using Arithmetic sequence formula</h3>

aₙ = a + (n - 1)d

where

  • a = first term
  • d = common difference
  • n = number of terms

Therefore, let's find a and d

a₁₀ = a + (10 - 1)d

a₃₅ = a + (35 - 1)d

Hence,

16 = a + 9d

66 = a + 34d

25d = 50

d = 50 / 25

d = 2

16 - 9(2) = a

a = 16 - 18

a  = -2

Therefore, let's find the sum of 75 terms of the arithmetic sequence

Sₙ = n / 2 (2a + (n - 1)d)

S₇₅ = 75 / 2 (2(-2) + (75 - 1)2)

S₇₅ = 37.5 (-4 + 148)

S₇₅ = 37.5(144)

S₇₅ = 5400

learn more on arithmetic sequence here: brainly.com/question/1687271

4 0
2 years ago
What is the arc length of an angle of 2π 3 radians formed on the unit circle? A) π 3 B) 2π 3 C) 4π 3 D) 5π 3
mars1129 [50]
We know that
in a unit circle the radius is 1
therefore
[Length of a circumference]=2*pi*r------> 2*pi

if 2pi radians in a circle unit has a length of ------------>  2*pi
2pi/3 radians----------------------------> X
X=2pi/3

the answer is 2pi/3

5 0
3 years ago
Read 2 more answers
3. Which pair of quantities form a proportional relationship? ​
pychu [463]
C
D

Reason: their ratio is 1


Mark brainliest please
8 0
2 years ago
MATH- Look at the picture and answer correctly so i can mark you as brainliest.
nadya68 [22]

Answer:

The answer in B please mark Brainliest.

Step-by-step explanation:

It is very easy.

5 0
2 years ago
Please help!!! I'll mark you as brainliest!!!!
podryga [215]
0.504854369 as a percentage would be 50.4854369%

easiest way to remember: a percentage is a decimal rounded 2 decimal places to the right

rounded to the nearest tenth, the percentage will be 50.5%

if u need more help tell me

4 0
2 years ago
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