Question

[An Nguyễn Ngọc Khánh]

tính giá trị biểu thức sau: A=1 - 11/6 + 19/12 - 29/20 + 41/30 - 55/42 + 71/56 - 89/72 + 109/90. Giup mình vs ạ

Answer 1

[Nguyễn Lê Phước Thịnh]

\(A=1-1-\dfrac{5}{6}+1+\dfrac{7}{12}-1-\dfrac{9}{20}+1+\dfrac{11}{30}-1-\dfrac{13}{42}+1+\dfrac{15}{56}-1-\dfrac{17}{72}+1+\dfrac{19}{90}\)

\(=1-\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}+\dfrac{1}{4}-\dfrac{1}{4}-\dfrac{1}{5}+...+\dfrac{1}{9}+\dfrac{1}{10}\)

=1/2+1/10

=5/10+1/10=6/10=3/5