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Grade 12Algebra

can you please explain how ans is
2009! – 2! / 2! 2009!

Question image for can you please explain how ans is 2009! – 2! / 2!
Profile image of vikas s badami
11 Years agoGrade 12
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4 Answers

Profile image of Y RAJYALAKSHMI
11 Years ago
3/(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!)
 
Profile image of yaswanth
11 Years ago
excellent answer by rajya lakshmi
 
Profile image of naysa
11 Years ago
excellent answer
Profile image of kartheeek
11 Years ago
awesome answer by rajya lakshmi