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If the common difference of an AP is -3 and the 18th term is -5. Find its first term.

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An important question from ML Pulication of Class 10 from Arithmetic Progression Chapter.
If the common difference of an AP is -3 and the 18th term is -5. Find its first term.
Class 10 ML Publication, chapter 9, Arithmetic Progression

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1 Answer

  1. Tn​=a+(n−1)d
    T18​=a+(18−1)d
    −5=a+(18−1)(−3)
    −5=a+(17)(−3)
    −5=a−51
    a=51−5
    a=46​
    Therefore, first term a=46

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