The sequence of numbers a1,a2,a3,...,an...is defined byan=1n−1n+2for each integer n≥1.What is the sum of the first 20 terms of this sequence?
A.(1+12)−120
B.(1+12)−(121+122)
C.1−(120+122)
D.1−122
E.120−122
我的答案:
The sequence of numbers fff\(a_1,a_2,a_3,...,a_n...\)/fffis defined byfff\(a_n=\frac{1}{n}-\frac{1}{n+2}\)/ffffor each integer n≥1.What is the sum of the first 20 terms of this sequence?