Nth term of the numerator = n(n + 1)2 = n3 + 2n2 + n nth term of the denominator = n2(n + 1) = n3 + n2 From (1), (2), and (3), we obtain Thus, the given res ...

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Standard XII

Mathematics

nth Term of A.P

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Solution

n^th term of the numerator = n(n + 1)² = n³ + 2n² + n

n^th term of the denominator = n²(n + 1) = n³ + n²

From (1), (2), and (3), we obtain

Thus, the given result is proved.

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nth term of the numerator = n(n + 1)2 = n3 + 2n2 + n nth term of the denominator = n2(n + 1) = n3 + n2 From (1), (2), and (3), we obtain Thus, the given result is proved.

n^th term of the numerator = n(n + 1)² = n³ + 2n² + n

n^th term of the denominator = n²(n + 1) = n³ + n²

From (1), (2), and (3), we obtain

Thus, the given result is proved.