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The sum of first n term …

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The sum of first n term of an APS are S1, S2, S3,. the first term of each is Five and their commmon difference is 2, 4,6 respectively.prove that S1+S3=2S2
  • 1 answers

Ram Kushwah 6 years, 9 months ago

S1=n/2(10+(n-1)*2)

S2=n/2(10+(n-1)*4)

S3=n/2(10+(n-1)*6)

S1+S3=n/2[20+(n-1)(2+6)]

=n/2(2*10+(n-1)*2*4)

=2*n/2(10+(n-1)*4)

=2*S2

S1+S3=2S2

 

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