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The first term of G.P. is 2 and the sum ...

The first term of G.P. is 2 and the sum to infinity is 6. Find the common ratio.

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Verified by Experts

Given `a=2`
sum of infinity `=6`
or `a/(1-r)=6`
or `2/(1-r)=6`
or `r=2/3`
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RD SHARMA-GEOMETRIC PROGRESSIONS-Solved Examples And Exercises
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  2. If b=a+a^2+a^3+ dotoo prove that a=b/(1+bdot)

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  9. Find the sum of the following series to infinity: 2//5+3//5^2\ +2//5^3...

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  10. Find the sum of the following series to infinity: 1/3+1/(5^2)+1/(3^3)+...

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  11. Find the sum of the following series to infinity: 8+4sqrt(2)+4+oo

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  12. Find the sum of the following series to infinity: 10-9+8. 1-7. 29+oo

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  13. Find the value of 9^(1/3). 9^(1/9). 9^(1/27)...up to oo.

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  14. Prove that: 2^(1/4).4^(1/8), 8^(1/16). 16^(1/32)......... oo=2.

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  18. Find the rational numbers shaving the following decimal expansion: 3. ...

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  19. Find the rational numbers having the following decimal expansion: \ 0....

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