Algebra
(1-1/2)(1-1/3)(1-1/4)...(1-1/9) = 1/9
may i know how this is so?
(1-1/2)(1-1/3)(1-1/4)...(1-1/9) = 1/9
may i know how this is so?
2 Answers
AskiitiansExpert Abhinav Batra
Approved Tutor Answer16 Years agoDear s adhitya
(1-1/2)(1-1/3)(1-1/4)(1-1/5).....(1-1/9)
=1/2*2/3*3/4*......8/9
=1/9(As the denominator and numerator of two consecutive terms cancel except numerator of first and denominator of last term)
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AskIITIANS Expert
Abhinav Batra
Parashara K.V.R
(1-1/2)(1-1/3)(1-1/4)......(1-1/9)
=(1/2)(2/3)(3/4)....(7/8)(8/9)
=1/9
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