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Mathematics
Blaze Mckinney
6 October, 23:59
Find the four arthmetic means between - 3 and 46
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Savannah Dodson
7 October, 01:06
0
The arithmetic means are
6.8, 16.6, 26.4 and 36.2
Step-by-step explanation:
Let the four terms be w, x, y and z.
In an arithmetic sequence, each consecutive term differs by a common difference, d.
First term = - 3
Second term, w = a + d = - 3 + d
Third term, x = a + 2d = - 3 + 2d
Fourth term, y = a + 3d = - 3 + 3d
Fourth term = a + 4d = - 3 + 4d
Last term = a + 5d = - 3 + 5d
Since the last term is 46, it means that
- 3 + 5d = 46
5d = 46 + 3 = 49
d = 49/5 = 9.8
Therefore,
w = - 3 + 9.8 = 6.8
x = - 3 + 2 * 9.8 = - 3 + 19.6 = 16.6
y = - 3 + 3 * 9.8 = - 3 + 29.4 = 26.4
z = - 3 + 4 * 9.8 = - 3 + 39.2 = 36.2
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Justin Shepherd
7 October, 01:11
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6.8, 16.6, 26.4, 36.2
Step-by-step explanation:
Let's write the sequence, d is the common difference:
- 3, - 3 + d, - 3 + 2d, - 3 + 3d, - 3 + 4d, 46
Therefore 46 = - 3 + 5d
5d = 49
d = 49/5 = 9.8
So the first arithmetic mean is - 3 + 9.8 = 6.8. and the second is - 3 + 2 (9.8) = 16.6 ...
They are:
6.8, 16.6, 26.4, 36.2.
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