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Factors of 10 m ^(2) - 31m - 132...

Factors of `10 m ^(2) - 31m - 132`

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Factorise the following 10m^(2) - 31m - 132

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Between 1 and 31, m numbers have been inserted in such a way that the resulting sequence is an A. P. and the ratio of 7^(th) and (m - 1)^(th) numbers is 5 : 9. Find the value of m.

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