Given, sn=1+q+q^2++q^n ,Sn=1+(q+1)/2+((q...

Given, `s_n=1+q+q^2++q^n ,S_n=1+(q+1)/2+((q+1)/2)^2++((q+1)/2)^n ,q!=1` prove that `^n+1C_1+^(n+1)C_2s_1+^(n+1)C_3s_2++^(n+1)C_(n+1)s_n2^n S_ndot`

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