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For an AP Tm-Tn =.............

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For an AP Tm-Tn =.............

    • Posted by Khushi Gangwani 5 years, 1 month ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Anil Tharkar 5 years, 1 month ago

    Let 'a' be the first term and 'd' be common difference of the A.P ⇒Tm​=a+(m−1)d=n⇒a−d=n−md...(1) and Tn​=a+(n−1)d=m⇒a−d=m−nd..(2) Using (1) and (2) we get, d=−1 and a=n+m−1 ∴Tp​=a+(p−1)=n+m−1+(p−1)(−1)=n+m−p Hence, option 'A' is correct.

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