S5=b1(1-q^5)/(1-q)
121/3=b1*(1-(1/3)^5)/(1-1/3)
121/3=b1*(1-1/243)/2/3
121/3=(b1*242/24)/2/3
121/3*2/3=b1*242/243
242/9=b1*242/243
b1=242/9:242/243
b1=242/9*243/242
b1=27
b5=b1*q^4
b5=27*(1/3)^4
b5=27*1/81
b5=1/3
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Answers & Comments
S5=b1(1-q^5)/(1-q)
121/3=b1*(1-(1/3)^5)/(1-1/3)
121/3=b1*(1-1/243)/2/3
121/3=(b1*242/24)/2/3
121/3*2/3=b1*242/243
242/9=b1*242/243
b1=242/9:242/243
b1=242/9*243/242
b1=27
b5=b1*q^4
b5=27*(1/3)^4
b5=27*1/81
b5=1/3