IIT JEE SEQUENCES AND SERIES If `|a| lt 1a n d|b| lt 1,` then the sum of the series `1+(1+a)b+(1...

16 views · Published 21 September 2017 · 2:40 · Indexed 28 October 2026

Channel: Doubtnut · 2017 · Education

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This is the Solution of question from Cengage Publication Math Book Algebra Chapter 6 SEQUENCES AND SERIES written By G. Tewani. You can Find Solution of all math questions from CENGAGE BOOK on our app DOUBTNUT for free. Download Doubtnut from - https://doubtnut.app.link/bwk089LBxR

If `|a| lt 1a n d|b| lt 1,`
then the sum of the series `1+(1+a)b+(1+a+a^2)b^2+(1+a+a^2+a^3)b^3+...`
is
`1/((1-a)(1-b))`
b. `1/((1-a)(1-a b))`

c. `1/((1-b)(1-a b))`
d. `1/((1-a)(1-b)(1-a b))`

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