Grade 12Algebracan you please explain how ans is2009! – 2! / 2! 2009! vikas s badami 11 Years agoGrade 12
Y RAJYALAKSHMI11 Years ago3/(1! + 2! +3!) + 4/(2! + 3! +4!) + …... + 2009/(2007! + 2008! +2009!)= 1/(1! * 3) +1/(2! * 4) + 1/(3! * 5) + …. + 1/(2007! * 2009)= 2/3! + 3/4! + 4/5! + ….. + 2007/2008!= (1/2! – 1/3!) + (1/3! – 1/4!) + …. + (1/2008! – 1/2009!)= 1/2! – 1/2009! = (2009! – 2!) / (2! 2009!)