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If ||a| lt 1 "and " |b| lt 1 then the su...

If |`|a| lt 1 "and " |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 `

A

`(1)/((1-a)(1-b))`

B

`(1)/((1-a)(1-ab))`

C

`(1)/((1-b) (1-ab))`

D

`(1)/((1-a) (1-b) (1-ab))`

Text Solution

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The correct Answer is:
C
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ML KHANNA-PROGRESSIONS -PROBLEM SET - 2 (MULTIPLE CHOICE QUESTIONS)
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  19. If x, y, z are in G.P. and tan^(-1) x, tan^(-1)y and tan^(-1)z are in ...

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  20. If a, b, c are in A.P. and b-a, c-b, a are in G.P. then a:b:c=?

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