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For each positive integer k, let Sk den...

For each positive integer k, let `S_k` denote the increasing arithmetic sequence of integers whose firstterm is 1 and whose common difference is k. For example, `S_3` is the sequence `1, 4, 7, 10.......`Find thenumber of values of k for which `S_k` contain the term 361.

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[" If the first term of an A.P is an integer with common difference "2" ,then the number of possible values of k for which the sum of first k terms is "153" is "(k>1)]