How do you evaluate #\frac { 1} { 2} \sum _ { k = 1} ^ { 3} \frac { 2} { k }#?
1 Answer
# 1/2 \ sum_(k=1)^3 \ 2/k = 11/6 #
Explanation:
With a small number of terms we can just write out those terms and evaluate the sum: Thus
# 1/2 \ sum_(k=1)^3 \ 2/k =1/2{2/1+2/2+2/3 } #
# " " =1/2{2+1+2/3 } #
# " " =1/2{11/3 } #
# " " =11/6 #
