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The 4 arithmetic means between –2 and 23 are
- a)3, 13, 8, 18
- b)18, 3, 8, 13
- c)3, 8, 13, 18
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The 4 arithmetic means between –2 and 23 area)3, 13, 8, 18b)18, ...
Let the 4 arthmetic means be a1 , a2 , a3 , a4. The total nu,ber of series is 6
The AP is 3 , a1 , a2 , a3 , a4 , 23
t6 = 23
a + (6-1)d = 23
3+(5)d = 23
5d = 23-3
5d = 20
d = 20/5
d = 4
so , the four arthmetic means are
3+4 = 7
3+8 = 11
3+12=15
3+16 = 19
Most Upvoted Answer
The 4 arithmetic means between –2 and 23 area)3, 13, 8, 18b)18, ...
Arithmetic means are the numbers that come between two given numbers in such a way that the difference between any two consecutive means is constant.
Given two numbers 2 and 23, we need to find the four arithmetic means between them.
Let's use the formula for finding the arithmetic mean:
Mean = (sum of the given numbers) / (number of terms)
First, we find the common difference between the two given numbers:
Common difference = (23 - 2) / 5 = 4.2
Now, we can find the four arithmetic means between 2 and 23:
1. First mean = 2 + (1 x 4.2) = 6.2
2. Second mean = 6.2 + (1 x 4.2) = 10.4
3. Third mean = 10.4 + (1 x 4.2) = 14.6
4. Fourth mean = 14.6 + (1 x 4.2) = 18.8
Therefore, the four arithmetic means between 2 and 23 are:
3, 8, 13, and 18
Hence, the correct answer is option C.
Given two numbers 2 and 23, we need to find the four arithmetic means between them.
Let's use the formula for finding the arithmetic mean:
Mean = (sum of the given numbers) / (number of terms)
First, we find the common difference between the two given numbers:
Common difference = (23 - 2) / 5 = 4.2
Now, we can find the four arithmetic means between 2 and 23:
1. First mean = 2 + (1 x 4.2) = 6.2
2. Second mean = 6.2 + (1 x 4.2) = 10.4
3. Third mean = 10.4 + (1 x 4.2) = 14.6
4. Fourth mean = 14.6 + (1 x 4.2) = 18.8
Therefore, the four arithmetic means between 2 and 23 are:
3, 8, 13, and 18
Hence, the correct answer is option C.
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Community Answer
The 4 arithmetic means between –2 and 23 area)3, 13, 8, 18b)18, ...
Common Difference = b-a /n+1 a=-2 , b=23 , n=4
= 23-(-2)/5
=25/5
=5
so,
first AMs = -2+5=3
second AMs =3+5=8
Third AMs =8+5= 13
fourth AMs =13+5=18
AMs=3,8,13,18 option (c)
= 23-(-2)/5
=25/5
=5
so,
first AMs = -2+5=3
second AMs =3+5=8
Third AMs =8+5= 13
fourth AMs =13+5=18
AMs=3,8,13,18 option (c)
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