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Find the number of common terms to the t...

Find the number of common terms to the two sequences 17,21,25,...,417 and 16,21,26,...,466.

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The correct Answer is:
20 terms
Series 17,21,25,…417 has common difference 4. Series 16,21,26,…,466 has common difference 5. hence, the series with common terms has common difference equal to the L.C.M. of 4 and 5 i.e., 20. The first common term is 21. Hence, the series is 21,41,61,...,401 which has 20 terms.
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