SOLUTION: Insert K arithmetic means betweens the given numbers. 11/3 and 6; k=4

Question 268983: Insert K arithmetic means betweens the given numbers.
11/3 and 6; k=4
Found 2 solutions by stanbon, drk:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Insert K arithmetic means betweens the given numbers.
11/3 and 6; k=4
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Difference = 6 - 11/3 = 18/3 - 11/3 = 7/3
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Solve 4x = 7/3
x = 7/12
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Sequence:
11/3
11/3 + 7/12 = 44/12 + 7/12 = 51/12
51/12 + 7/12 = 58/12
58/12 + 7/12 = 65/12
65/12 + 7/12 = 72/12 = 6
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Cheers,
Stan H.
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
start with : 11/3
convert it to 55/15
first arithmetic mean: add 7/15 = 62/15
second arithmetic mean: add 7/15 = 69/15
third arithmetic mean: add 7/15 = 76/15
fourth arithmetic mean: add 7/15 = 83/15
ending with: 83/15 + 7/15 = 90/15 = 6
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