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STATEMENT -1: (666...n digit)^2+(888... ...

STATEMENT -1: (666...n digit)^2+(888... ndigit)=(444....2ndigits) STATEMENT- 2 (111....1) 12 times is a prime number. (A) STATEMENT-1 is True, STATEMENT-2 is True ; STATEMENT-2 is a correct explanation for (B) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for (C) STATEMENT-1 is True, STATEMENT-2 s False .n digits+ (888. digits) (44 .2n digits) 2 is a prime number 12 times n H.P., wherea STATEMENT-1 STATEMENT-1 STATEMENT-1 is False, STATEMENT-2 is True (D)

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A DAS GUPTA-Progression, Related Inequalities and Series-Exercise
  1. If S1, S2, S3 be respectively the sums of n ,2n ,3n terms of a G.P., t...

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  2. Find sum(n=1)^n un if un=sum(n=0)^n1/2^n.

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  3. STATEMENT -1: (666...n digit)^2+(888... ndigit)=(444....2ndigits) STAT...

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  4. Let a1,a2,a3,.... are in GP. If an>am when n>m and a1+an=66 while a2*a...

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  5. Find the sum of 2n terms of the series whose every even term is ' a ' ...

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  6. If the sum of an infinite G.P is 32 and the some of its first two term...

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  7. If Sn=1+r^n+r^(2n)+r^(3n)+.... to oo and sn=1-r^n+r^(2n)-r^(3n)+... to...

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  8. If x=sum(n=0)^oo a^n, y=sum(n=0)^oo b^n where |a|<1,|b|<1 then prove t...

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  9. If exp. {(sin^2x+sin^4x+sin^6x+…inf.) In2} satisfies the equation x^2-...

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  10. If S1, S2,S3,S4,.....,Sp denotes the sums of infinite geometric serie...

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  11. If S1, S2,S3,S4,.....,Sp denotes the sums of infinite geometric serie...

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  12. If S1, S2,S3,S4,.....,Sp denotes the sums of infinite geometric serie...

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  13. If a,b,c are in G.P., then show that : loga, logb, log c are in A.P.

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  14. If a,b,c are in A.P. and x,y,z in G.P., prove that x^(b-c).y^(c-a).z^(...

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  15. If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d ...

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  16. 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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  17. If a, x, b as well as c, x, d are in GP while a^2,y,b^2 as well as c^2...

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  18. If pth, qth and rth terms of an A.P. and G.JP. Both be a,b and c respe...

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  19. If pth, qth , rth and sth terms of an AP are in GP then show that (p-q...

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  20. If second third and sixth terms of an A.P. are consecutive terms o a ...

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