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a=1/2+1/3+1/4+.......1/10
b=2/3+4/3+5/4+....11/10

b-a=?


Răspuns :

b - a = (2/3 - 1/3) + (4/3 - 1/3) + (5/4 - 1/4) + .. + (11/10 - 1/10) - 1/2

b - a = 1/3 + 3/3 + 4/4 + .. + 10/10 - 1/2

b - a = 1/3 + 8 - 1/2

b - a = (2 + 48 - 3)/ 6

b - a = 47/6