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The least positive integer n such that 1...

The least positive integer `n` such that `1-2/3-2/3^2-............-2/3^(n-1) < 1/100` is

A

4

B

5

C

6

D

7

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-PROGRESSIONS-EXERCISES LEVEL-1 (Single Correct Answer Type Questions)
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  2. Product of two positive integers a and b is 192. Let 8 = hef (a, b) an...

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  3. The least positive integer n such that 1-2/3-2/3^2-............-2/3^(n...

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  4. Let the positive numbers a , b , c , d be in AP. Then a b c ,a b d ,a ...

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  5. Find the harmonic mean of the roots of the equation (5+sqrt2)x^2-(4+sq...

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  6. If cos(x-y), cosx and cos(x+y) are in H.P., then |cos x sec (y)/(2)| e...

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  7. Let Sn=1+1/2+1/3+1/4+......+1/(2^n-1). Then

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  8. Let S=4/19+44/(19)^2+444/(19)^3+...oo then find the value of S

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  9. 29. If a,b,c are in G.P. and a^(1/x)=b^(1/y)=c^(1/z) prove that x, y, ...

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  10. If a,b,c,d are in GP and a^x=b^x=c^z=d^u, then x ,y,z,u are in

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  11. If a ,b ,c ,da n dp are distinct real numbers such that (a^2+b^2+c^2)p...

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  12. If a,b,c are in A.P., then 2^(ax+1),2^(bx+1),2^(cx+1), x in R, are in

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  13. The rational number, which equals the number 2.bar 357 with recurring ...

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  14. The sum to infinity of the series 1+(4)/(5)+(7)/(5^(2))+(10)/(5^(3))...

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  15. If the sum of n terms of an A.P. is 3n^(2)+5n and its mth term is 164,...

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  16. If G1 and G2 are two geometric means and A is the arithmetic mean inse...

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  17. If A(1),A(2) be two A.M.'s and G(1),G(2) be two G.M.,s between a and b...

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  18. The first and last term of an A.P. are a and l respectively. If S be t...

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  19. The value of 2^(1/4).4^(1/8).8^(1/16),,,,,,,oo is equal to.

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  20. . The sum of an infinite number of terms of a G.P. is 20, and the sum ...

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