Please take me through the process stepbystep I want to unde

Please take me through the process step-by-step. I want to undestand the concepts and where I am going wrong. Thank you.

Since alternating series and (n+1)/9^(n+1)infinity of n/9^n is 0, The series converges Since alternating series, absolute value of last ignored term is greater than error in sum. (-1/9)+(2/81)-(3/729)+(4/6561)-(5/59049)=s=ans s=-.0899 with error less than .00000846=5/59049