SOLUTION: insert 2 arithmetic means between 3/5 and 5/3

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Question 1087344: insert 2 arithmetic means between 3/5 and 5/3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


recall:
If the common difference is d, then to get the next term,
we just add d each time:
3%2F5, 3%2F5%2Bd, 3%2F5%2B2d, 5%2F3
use given terms and general formula to find d:
a%5Bn%5D=a%5B1%5D%2B%28n-1%29d........since first term is 3%2F5 and fourth term is 5%2F3
a%5B4%5D=a%5B1%5D%2B%284-1%29d
5%2F3=3%2F5%2B3d
3d=5%2F3-3%2F5
3d=25%2F15-9%2F15
3d=16%2F15
d=16%2F45

3%2F5,+3%2F5%2B16%2F45,3%2F5%2B2%2816%2F45%29, 5%2F3
3%2F5, 43%2F45,59%2F45,+5%2F3