Question and Answers Forum

All Questions      Topic List

None Questions

Previous in All Question      Next in All Question      

Previous in None      Next in None      

Question Number 1105 by Yugi last updated on 14/Jun/15

Obtain the general term of each of the following sequences (if obtainable)  in terms of Π (or any other form of notation):  A)   1,(1−n)(1−2n) , (1−n)(1−2n)(1−3n)(1−4n) , (1−n)(1−2n)(1−3n)(1−4n)(1−5n)(1−6n), ...  B)   1, 1−n , (1−n)(1−2n)(1−3n) , (1−n)(1−2n)(1−3n)(1−4n)(1−5n), ...

$${Obtain}\:{the}\:{general}\:{term}\:{of}\:{each}\:{of}\:{the}\:{following}\:{sequences}\:\left({if}\:{obtainable}\right) \\ $$$${in}\:{terms}\:{of}\:\Pi\:\left({or}\:{any}\:{other}\:{form}\:{of}\:{notation}\right): \\ $$$$\left.{A}\right)\:\:\:\mathrm{1},\left(\mathrm{1}−{n}\right)\left(\mathrm{1}−\mathrm{2}{n}\right)\:,\:\left(\mathrm{1}−{n}\right)\left(\mathrm{1}−\mathrm{2}{n}\right)\left(\mathrm{1}−\mathrm{3}{n}\right)\left(\mathrm{1}−\mathrm{4}{n}\right)\:,\:\left(\mathrm{1}−{n}\right)\left(\mathrm{1}−\mathrm{2}{n}\right)\left(\mathrm{1}−\mathrm{3}{n}\right)\left(\mathrm{1}−\mathrm{4}{n}\right)\left(\mathrm{1}−\mathrm{5}{n}\right)\left(\mathrm{1}−\mathrm{6}{n}\right),\:... \\ $$$$\left.{B}\right)\:\:\:\mathrm{1},\:\mathrm{1}−{n}\:,\:\left(\mathrm{1}−{n}\right)\left(\mathrm{1}−\mathrm{2}{n}\right)\left(\mathrm{1}−\mathrm{3}{n}\right)\:,\:\left(\mathrm{1}−{n}\right)\left(\mathrm{1}−\mathrm{2}{n}\right)\left(\mathrm{1}−\mathrm{3}{n}\right)\left(\mathrm{1}−\mathrm{4}{n}\right)\left(\mathrm{1}−\mathrm{5}{n}\right),\:... \\ $$

Commented by prakash jain last updated on 14/Jun/15

Question is not very clear.  The general term can be defined in  terms of Π notation, but I don′t think that is  what you are looking for.

$$\mathrm{Question}\:\mathrm{is}\:\mathrm{not}\:\mathrm{very}\:\mathrm{clear}. \\ $$$$\mathrm{The}\:\mathrm{general}\:\mathrm{term}\:\mathrm{can}\:\mathrm{be}\:\mathrm{defined}\:\mathrm{in} \\ $$$$\mathrm{terms}\:\mathrm{of}\:\Pi\:\mathrm{notation},\:\mathrm{but}\:\mathrm{I}\:\mathrm{don}'\mathrm{t}\:\mathrm{think}\:\mathrm{that}\:\mathrm{is} \\ $$$$\mathrm{what}\:\mathrm{you}\:\mathrm{are}\:\mathrm{looking}\:\mathrm{for}. \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com