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Sequences and Series Test - 44

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Sequences and Series Test - 44
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    If the (m + 1)th, (n + 1)th and (r + 1)th terms of an A.P. are in G.P. and m, n, r are in H.P. show that the ratio of the first term to the common difference of the A.P. is
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    Number of terms in the sequence 1, 3, 6, 10, 15,…., 5050 is
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