The four arithmetic means between 3 and 23 are
Asked by admin @ in Math viewed by 303 People
Heya !!
✍ Insert 4 Arithmetic Means between 3 and 23...✍ Want correct answer.✌✌
Answered by admin @
The first term a1 = 3, a6 = 23.
The common difference is as follows:
a1 = 6
a2 = 3 + d
a3 = 3 + 2d
a4 = 3 + 3d
a5 = 3 + 4d
a6 = 23.
Now,
a6 = a + (n - 1) * d
23 = 3 + (6 - 1) * d
23 = 3 + 5d
20 = 5d
d = 4.
Now,
To find the 4 Arithmetic means between 3 and 23, we add the common difference 4.
3 + d = 3 + 4
= 7
3 + 2d = 3 + 2(4)
= 11.
3 + 3d = 3 + 3(4)
= 15.
3 + 4d = 3 + 4(4)
= 3 + 16
= 19.
Therefore 4 AM's between 3 and 23 are 7,11,15,19.
Hope this helps!
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