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Naina Radhe Pillai
Asked: 2022-11-11T15:20:27+05:30 In:

If sn denotes the sum of the first n terms of an A. P., prove that s12=3(s8-s4)

If sn denotes the sum of the first n terms of an A. P., prove that s12=3(s8-s4)
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  1. See in oswaal answer sheet 2 question 17
    Rs aggarwal

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Gulab Aslam Zacharia
Asked: 2022-11-09T08:24:50+05:30 In:

If Sn denotes the sum of the first n terms of an A.P., prove that S12=3(S8-S4).

If Sn denotes the sum of the first n terms of an A.P., prove that S12=3(S8-S4).
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  1. Yaa I know
    See in oswaal sample paper very easy sum ??
    Accha
    Are mujhe v aata h pr mai jaankar puchi
    Yha pr kese kre.. easy toh hai itna..

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Mehul Govind Kale
Asked: 2022-11-05T11:17:30+05:30 In:

If Sn denotes the sum of the first n terms of an A.P prove that S12=3(S8-S4)

If Sn denotes the sum of the first n terms of an A.P prove that S12=3(S8-S4)
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  1. Let a be the first term and the common difference be d.Sn\xa0=\xa0{tex}\\frac n2{/tex}[2a + (n – 1)d]S12 = {tex}\\frac {12}2{/tex}[2a + (12 – 1)d]= 6[2a + 11d]= 12a + 66dS8 =\xa0{tex}\\frac 82{/tex}[2a + (8 – 1)d]= 4[2a + 7d]= 8a + 28dS4 =\xa0{tex}\\frac 42{/tex}[2a + (4- 1)d]= 2[2a + 3d]= 4a + 6d3(S8 – S4) = 3[(8a + 28d) – (4a + 6d)]= 3[8a + 28d – 4a – 6d]= 3[4a + 22d]= 12a + 66d= S12

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Vicky Patel
Asked: 2022-10-29T01:05:19+05:30 In:

If Sn denotes the sum of the first n terms of an A.P.,prove that S30=3(S20-S10).

If Sn denotes the sum of the first n terms of an A.P.,prove that S30=3(S20-S10).
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