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EXAMPLE 28 If there are (2n +1) terms in A.P, then prove that the ratio of the sum of odd terms andthe sum of even terms is (n +1):n. |
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Answer» Let us consider n=1then we get (2n+1)= 2*1+1=3let us consider those 3 terms be 1,2,3sum of the odd terms 1+3=4sum of the even terrms =2Now the ratio of odd terms to even terms is 4:2=2:1which satisfy the condition (n+1):1=(1+1):1=2:1Hence proved |
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