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If the sum of n terms …

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If the sum of n terms of an A.p is 3n²+5n. And it's m t h term is164.find the value of m

    • Posted by George P.V 4 years, 10 months ago

    CBSE > Class 11 > Mathematics
    • 1 answers

    Gaurav Seth 4 years, 10 months ago

    Sn=3n2+5n

    S1=a1=3(1)2+5(1)=8

    S2=3(2)2+5(2)=22

    S2=22=a1+a2

    a2=22-8=14

    d=a2-a1=14-8=6

    nth term value is 164,then what is n?

    nth term=a+(n-1)d

    164=8+(n-1)6

    164-8 / 6=n-1

    156/6=n-1

    26+1=n

    n=27

    So 27thterm is 164.

    1Thank You

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