lga1+lga2+……+lgan
=lga1+lgqa1+lgq^2a1……+lgq^(n-1)a1
=nlga1+lgq+lgq^2+.+lgq^(n-1)
=nlga1+lgq+2lgq+3lgq+.+(n-1)lgq
=nlga1+(1/2)lgq*n(n-1)