Question

M= 3/5.7 + 3/7.9+… +3/59.61 

M=?

Answer 1

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Answer 2

\(M=\frac{3}{5\cdot7}+\frac{3}{7\cdot9}+...+\frac{3}{59\cdot61}\)

\(M=\frac{3}{2}\left[\frac{2}{5\cdot7}+\frac{2}{7\cdot9}+...+\frac{2}{59\cdot61}\right]\)

\(M=\frac{3}{2}\left[\frac{1}{5}-\frac{1}{7}+...+\frac{1}{59}-\frac{1}{61}\right]\)

\(M=\frac{3}{2}\left[\frac{1}{5}-\frac{1}{61}\right]\)

\(M=\frac{3}{2}\cdot\frac{56}{305}=\frac{84}{305}\)

Answer 3

M=\(\frac{3}{5.7}\)+\(\frac{3}{7.9}\)+\(\frac{3}{9.11}\)+......................+\(\frac{3}{59.61}\)

M= 2.\((\frac{3}{5.7}+\frac{3}{7.9}+\frac{3}{9.11}+...........+\frac{3}{59.61})\):2

M=3.\((\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.11}+...........+\frac{2}{59.61})\):2

M=3.\((\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}+........+\frac{1}{59}-\frac{1}{61})\):2

M=3,\((\frac{1}{5}-\frac{1}{61})\):2

M=3.\(\frac{56}{305}\):2

M=\(\frac{168}{305}\):2

M=\(\frac{84}{305}\)

Answer 4

=(2/5.7+2/7.9+...+2/59.61).3/2

=(1/5-1/7+1/7-1/9+...+1/59-1/61).3/2

=(1/5-1/61).3/2

=6/305.3/2

=9/305