1/(1*3) + 1/(3*6) + 1/(6*9) + 1/(9*12) + …+1/(96*99)

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1/(1*3)+1/(3*6)+1/(6*9)+1/(9*12)+…+1/(96*99)1/(1*3)+1/(3*6)+1/(6*9)+1/(9*12)+…+1/(96*99)1/(1*3)+1/(3

1/(1*3) + 1/(3*6) + 1/(6*9) + 1/(9*12) + …+1/(96*99)
1/(1*3) + 1/(3*6) + 1/(6*9) + 1/(9*12) + …+1/(96*99)

1/(1*3) + 1/(3*6) + 1/(6*9) + 1/(9*12) + …+1/(96*99)
1/(1*3) + 1/(3*6) + 1/(6*9) + 1/(9*12) + …+1/(96*99)
=1/3 + 1/3*(1/3-1/6+1/6-1/9 + .-1/96+1/96-1/99 )
=1/3 + 1/3*(1/3-1/99)
=1/3*(1+1/3-1/99)
=395/27