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If the coefficients of three consecutive terms in the expansion of `(1+x)^n` be 76, 95 and 76 find `n`.

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Suppose `r,(r+1)` and `(r+2)` are three consecutive terms in the given expansion.
The coefficients of these terms are `\ ^{n} C_{r-1},\ ^{n} C_{r}` and `\ ^{n} C_{r+1}`.
According to the question,
`\ ^{n} C_{r-1}=76 `
...
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