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Find four numbers forming a geometric p...

Find four numbers forming a geometric progression in which the third term is greater than the first term by 9, and the second term is greater than the `4^(t h)`by 18.

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` 3, - 6 , 12 , -24 `
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  8. Find the sum to n terms (i) 9 + 99 + 999 + … (ii) 0.2 + 0.22...

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  9. How many terms of the series 1+2+2^2+….. must be taken to make 511?

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  10. A bag contains a total of 20 books on physics and mathematics, Any po...

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  11. Find the sum to infinity of the following G.P. (i) 1, (1)/(3) , (1)/...

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  12. Find the sum of the following series , (i) 0.5 + 0.05 + 0.005 + 0...

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  13. Prove that (9^(1/3).9^(1/9).9^(1/27)............oo)=3

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  14. Show that 9^(1/(4)).9^(1/(8)).9^(1/(16).) . .."to" oo = 3

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  15. The sum of an infinite G.P. . Is 6 and its first term is 2 . Find the ...

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  16. If the common ratio is -4/5 and the sum of infinite terms in a G.P is ...

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  17. Represent the following as rational numbers : (i) 0.bar(8)5 " " (...

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  18. Represent the following as rational numbers : (i) 0.bar15 " " (ii)...

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  19. If a, b, c , d are in G.P. , then shown that (i) (a + b)^(2) , (b ...

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  20. If a, b, c are in G.P. , then show that (i) (a^(2) - b^(2))(b^(2)...

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