3/2n+15n-5/n=1/n^2
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I wasn't sure if your first term was 3 / 2n or 3n / 2
1) if your first term is 3 / 2n...
multiply both sides by n^2...
3n/2 + 15n^3 - 5n = 1
multiply both sides by 2...
3n + 30n^3 - 10n = 2
rearrange...
30n^3 - 7n - 2 = 0
2) if your first term is 3n / 2...
multiply both sides by n^2...
3n^3 / 2 + 15n^3 - 5n = 1
multiply both sides by 2...
3n^3 + 30n^3 - 10n = 2
rearrange...
33n^3 - 10n - 2 = 0
Neither of these equations have integer solutions, so you could use iteration to solve. Or you can just use http://www.wolframalpha.com/ to solve them :)
1) if your first term is 3 / 2n...
multiply both sides by n^2...
3n/2 + 15n^3 - 5n = 1
multiply both sides by 2...
3n + 30n^3 - 10n = 2
rearrange...
30n^3 - 7n - 2 = 0
2) if your first term is 3n / 2...
multiply both sides by n^2...
3n^3 / 2 + 15n^3 - 5n = 1
multiply both sides by 2...
3n^3 + 30n^3 - 10n = 2
rearrange...
33n^3 - 10n - 2 = 0
Neither of these equations have integer solutions, so you could use iteration to solve. Or you can just use http://www.wolframalpha.com/ to solve them :)