The sum of first 7 terms of an AP is 63 and the sum of its next 7 terms is 161. Find the 28th term of this AP

The sum of first 7 terms of an AP is 63 and the sum of its next 7 terms is 161. Find the 28th term of this AP

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2 thoughts on “The sum of first 7 terms of an AP is 63 and the sum of its next 7 terms is 161. Find the 28th term of this AP”

  1. Answer:

    57

    Step-by-step explanation:

    S7=63

    S14=63+161 =224

    63=7/2[2a+6d]

    2a+6d=18

    224=14/2[2a+13d]

    2a+13d=32

    2a+6d=18

    2a+13d=32

    by solving, d=2 and a= 3

    a28=a+27d

    =3+27(2)

    =3 + 54

    =57

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