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If a=1+b+b^2+b^3+ to oo , then write b i...

If `a=1+b+b^2+b^3+ to oo` , then write `b` in terms of `a` given that `abs(b) lt 1`.

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`a=1+b+b^2+b^3 . . . oo`
It is an infinite GP with first term as `1` and common ratio `r`
Sum of integer terms is given by
`=> s_(oo)=(a)/(1-r)`
...
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RD SHARMA-GEOMETRIC PROGRESSIONS-Solved Examples And Exercises
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  2. If A and G are respectively arithmetic and geometric mean between posi...

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  12. If second, third and sixth terms of an A.P. are consecutive terms of a...

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  13. If A and G are respectively arithmetic and geometric mean between posi...

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  14. If n geometric means are inserted between two quantities ; then the pr...

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  15. If a=1+b+b^2+b^3+ to oo , then write b in terms of a given that abs(b)...

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  16. If in an infinite G.P., first term is equal to 10 times the sum of all...

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  17. If the first term of a G.P. a1, a2, a3, . . . is unity such that 4a2...

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  18. If a ,b ,c are in A.P. and x , y , z are in G.P., then show that x^(b...

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