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the 4th term of an AP …

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the 4th term of an AP is zero prove that the 25th term of the AP is 3 times its 11th term

    • Posted by Anant Thapa 6 years, 7 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 7 months ago

    We have,
    a4 = 0
    {tex}a + 3d = 0{/tex}
    {tex}3d = -a{/tex}
    or {tex}-3d = a{/tex}..........(i)
    Now,
    a25 = {tex}a + 24d{/tex}
    = {tex}-3d + 24d{/tex} [Putting value of a from eq(i)]
    = {tex}21d{/tex}...........(ii)
    a11 = {tex}a + 10d{/tex}
    = {tex}-3d + 10d{/tex}
    = {tex}7d{/tex}.........(iii)
    From eq(ii) and (iii), we get
    a25 = 21 d
    a25 = 3(7d)
    a25 = 3a11
    Hence Proved

    0Thank You

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