Question

1/1000 + 13/1000 + 25/1000 + 37/1000 + +49/1000 + ............. + 97/1000 + 109/1000

Answer 1

\(\frac{1}{1000}+\frac{13}{1000}+\frac{25}{1000}+....+\frac{109}{1000}\)

\(=\frac{1+13+25+....+109}{1000}\)

Áp dụng công thức tính dãy số ta có

\(1+13+25+...+109=\frac{\left[\left(109-1\right):12+1\right].\left(109+1\right)}{2}=\frac{10.110}{2}=10.55=550\)

Vậy

\(\frac{1+13+25+...+109}{1000}=\frac{550}{1000}=\frac{11}{20}\)

Answer 2

\(\frac{1}{1000}+\frac{13}{1000}+\frac{25}{1000}+.......+\frac{109}{1000}\)

\(\frac{1+13+25+37+.....+97+109}{1000}\)

\(\frac{\left(\left(109-1\right):12+1\right).\left(109+1\right):2}{1000}\)

\(\frac{550}{1000}\)

= \(\frac{11}{20}\)

Answer 3

11/20