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THE SIMPLIFY VALUE OFF
(1-1/3)(1-1/4)(1-1/5)…………………………………………………………(1-1/99) (1-1/100) ?
Read Solution (Total 5)
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- simplify the bracket term....
it will look like (2/3)(3/4)(4/3).........(98/99)(99/100)
all the terms get cancel out except (2)(1/100)=1/50 - 12 years agoHelpfull: Yes(37) No(0)
- 1-1/3=2/3
1-1/4=3/4
1-1/5=4/5
.........
.........
similarly....
1-1/99=98/99
1-1/100=99/100
therefore,
(2/3)(3/4)(4/3).........(98/99)(99/100)
so,all the common terms get cancelled except for the numerator 2 & denominator 100
=> (2)(1/100)=1/50 - 12 years agoHelpfull: Yes(8) No(0)
- ans :1/50
first term would be 2/3
second 3/4 , third 4/5 n so on last would be 99/100... - 12 years agoHelpfull: Yes(3) No(0)
- (2/3).(3/4)(4/5)......................(98/99)(99/100)=2/100=1/50
- 9 years agoHelpfull: Yes(0) No(0)
- 2/3 *3/4 *4/5...............98/99 *99/100=1/50
- 9 years agoHelpfull: Yes(0) No(0)
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