Let Sk=1+q+q^2+...+q^k and Tk=1+(q+1)/2+...

Let `S_k=1+q+q^2+...+q^k` and `T_k=1+(q+1)/2+((q+1)/2)^2+...+((q+1)/2)^k` `q!=1` then prove that `sum_(r=1)^(n+1) ^(n+1)C_rS_(r-1)=2^ nT_n`

Let Sk=1+q+q^2+...+q^k and Tk=1+(q+1)/2+((q+1)/2)^2+...+((q+1)/2)^k q!...
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Given, sn=1+q+q^2+.....+q^n ,Sn=1+(q+1)/2+((q+1)/2)^2+...+((q+1)/2)^n...
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Let Sk=1+q+q^2+...+q^k and Tk=1+(q+1)/2+((q+1)/2)^2+...+((q+1)/2)^k q!...
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Given s=1+q+q^(2)+...+q^(n),S(n)=1+(q+(1)/(2))+(q+(1)/(2))^(2)+......+...
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Consider (1+x)^(n+1)=A(0)+A(1)x+A(2)x^(2)+………………+A(n+1)x^(n+1) and a...
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.prove that (a^(p+q))^(2)(a^(q+r))^(2)(a^(r+p))^(2)/((a^(p)*a^(q)*a^(r...
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यदि S n = 1 + q + q ^ 2 + .... + q ^n S n = 1...
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If sum(r=1)^(n)((tan 2^(r-1))/(cos2^(r )))=tanp^(n)-tan q, then find t...
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Simplify ((1)/(p)+(1)/(q+r))/((1)/(p)-(1)/(q+r))times[1+(q^(2)+r^(2)-p...
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