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

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

Question Image
Grade:12

4 Answers

Y RAJYALAKSHMI
45 Points
6 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!)
 
yaswanth
36 Points
6 years ago
excellent answer by rajya lakshmi
 
naysa
8 Points
6 years ago
excellent answer
kartheeek
24 Points
6 years ago
awesome answer by rajya lakshmi

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