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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
- If (p^2+q^2), (pq+qr), (q^2+r^2) are in GP then Prove that p, q, r are...
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- The coefficient of the quadratic equation a x^2+(a+d)x+(a+2d)=0 are co...
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- Let S denote sum of the series 3/(2^3)+4/(2^4 .3)+5/(2^6 .3)+6/(2^7 .5...
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- Let the sum of first three terms of G.P. with real terms be 13/12 and ...
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- Given a,b,c are in A.P.,b,c,d are in G.P and c,d,e are in H.P .If a=2 ...
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- The terms a1,a2,a3 form an arithmetic sequence whose sum is 18.The ter...
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- Let f(x)=2x+1. Then the number of real number of real values of x for ...
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- Concentric circles of radii 1,2,3,. . . . ,100 c m are drawn. The inte...
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- Let {tn} be a sequence of integers in G.P. in which t4: t6=1:4 and t2+...
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- If x ,2y ,3z are in A.P., where the distinct numbers x ,y ,z are in G....
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- If a,b,c,d are in GP then prove that, (a^2-b^2), (b^2-c^2), (c^2-d^2)...
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- If x ,y ,z are real and 4x^2+9y^2+16 z^2-6x y-12 y z-8z x=0,t h e nx ,...
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- If a, b, care in GP then prove that a^3, b^3, c^3 are in GP.
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- The second term of an H.P. is 3/14 and the fifth term is 1/10 . Find...
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- A pack contains n cards numbered from 1 to n. Two consecutive numbered...
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- If the sixth term of an H.P. is 10 and the 11th term is 18 Find the 16...
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- If he equation x^3+a x^2+b x+216=0 has three real roots in G.P., then ...
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- Let Tr be the rth term of an A.P., for r=1,2,3,..... If for some pos...
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- Let An = (3/4) -(3/4)^2 + (3/4)^3 +.....+(-1)^(n - 1) (3/4)^n , Bn = 1...
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- For a positive integer n let a(n)=1+1/2+1/3+1/4+.......+1/((2^n)-1) th...
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