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OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Exercise
- If a ,b ,c are in G.P. and a-b ,c-a ,a n db-c are in H.P., then prove ...
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- The cubes of the natural numbers are grouped as 1^(3),(2^(3),3^(3)),(4...
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- If a\ a n d\ b are the roots of x^2-3x+p=0\ a n d\ c ,\ d are the root...
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- Let the sum of n, 2n, 3n terms of an A.P. be S1,S2and S3, respectively...
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- If a ,b ,c ,d ,e ,f are A.M.s between 2 and 12, then find the sum a+b+...
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- If a, b, c are in G.P, then loga x, logb x, logc x are in
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- If x,y,z are in H.P then the value of expression log(x+z)+log(x-2y+z)=
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- If a,b,c,d are in H.P., then ab+bc+cd is equal to
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- The sum of i-2-3i+4 up to 100 terms, where i=sqrt(-1) is 50(1-i) b. 2...
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- (i) a , b, c are in H.P. , show that (b + a)/(b -a) + (b + c)/(b - c)...
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- If a,b,c are in H.P, then
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- If a , b, c, be in A.P. , b, c,d in G.P. and c.d.e.in H.P., then prov...
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- If (a+b)/(1-ab),b,(b+c)/(1-bc) are in AP, then a,(1)/(b),c are in
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- If the sum of n terms of an A.P is cn (n-1)where c ne 0 then the sum o...
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- Sum of the first p, q and r terms of an A.P are a, b and c, respectiv...
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- If Sn=1/1^3 +(1+2)/(1^3+2^3)+...+(1+2+3+...+n)/(1^3+2^3+3^3+...+n^3) T...
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- If a,b and c are in A.P. a,x,b are in G.P. whereas b, y and c are also...
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- If log(x+z)+log(x-2y+z)=2log(x-z)," then "x,y,z are in
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- If (1)/(a)+(1)/(c)+(1)/(a-b)+(1)/(c-b)=0, than prove that a,b,c are in...
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- If arithmetic mean of two positive numbers is A, their geometric mean ...
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