Question

M=1/3x7+1/7x11+1/11x15+.....+1/43x47

Answer 1

M=1/3.7+1/7.11+1/11.15+...+1/43.47

M=1/3-1/7+1/7-1/11+1/11-1/15+...+1/43-1/47

M=1/3-1/47

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Answer 2

M=\(\frac{1}{3x7}+\frac{1}{7x11}+\frac{1}{11x15}+...+\frac{1}{43x47}\)

=>4M=\(\frac{4}{3x7}+\frac{4}{7x11}+...+\frac{4}{43x47}\)

=>4M=\(\frac{1}{3}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+...+\frac{1}{43}-\frac{1}{47}\)

=>4M=\(\frac{1}{3}-\frac{1}{47}\)

=>4M=\(\frac{44}{141}\)

=>M=\(\frac{44}{141}:4\)

=>M=\(\frac{11}{141}\)