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If p ,q ,a n dr are inA.P., show that th...

If `p ,q ,a n dr` are inA.P., show that the pth, qth, and rth terms of any G.P. are in G.P.

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If p ,q ,r are in A.P., show that the pth, qth and rth terms of any G.P. are in G.P.

If p ,q ,a n dr are in A.P., then which of the following is/are true? pth, qth, and rth terms of A.P. are in A.P. pth, qth, rth terms of G.P. are in G.P. pth, qth, rth terms of H.P., are in H.P. none of these

If a , b ,a n dc are respectively, the pth, qth , and rth terms of a G.P., show that (q-r)loga+(r-p)logb+(p-q)logc=0.

If x ,y ,a n dz are pth, qth, and rth terms, respectively, of an A.P. nd also of a G.P., then x^(y-z)y^(z-x)z^(x-y) is equal to a. x y z b. 0 c. 1 d. none of these

If x ,y ,a n dz are pth, qth, and rth terms, respectively, of an A.P. nd also of a G.P., then x^(y-z)y^(z-x)z^(x-y) is equal to x y z b. 0 c. 1 d. none of these

If a , b ,and c are respectively, the pth, qth , and rth terms of a G.P., show that (q-r)loga+(r-p)logb+(p-q)logc=0.

If a , b , c are all positive and are pth ,qth and rth terms of a G.P., then show that =|(loga, p,1),(logb, q,1),(logc ,r,1)|=0

If a , b and c b respectively the pth , qth and rth terms of an A.P. prove that a(q-r) +b(r-p) +c (p-q) =0

Find the value of the determinant |b cc a a b p q r1 1 1|,w h e r ea ,b ,a n dc are respectively, the pth, qth, and rth terms of a harmonic progression.

Find the value of the determinant |(bc,ca, ab),( p, q, r),(1, 1, 1)|, where a ,b ,a n d c are respectively, the pth, qth, and rth terms of a harmonic progression.

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  2. Let Sn denote the sum of first n terms of an A.P. If S(2n)=3Sn , then ...

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  3. If p ,q ,a n dr are inA.P., show that the pth, qth, and rth terms of a...

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  7. Prove that in a sequence of numbers 49,4489,444889,44448889 in which e...

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  12. A sequence of numbers An, n=1,2,3 is defined as follows : A1=1/2 and f...

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  14. Find the sum of the products of the ten numbers +-1,+-2,+-3,+-4,a n d+...

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  16. Find the sum sum(r=0)^n^(n+r)Cr .

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  17. Find the sum to n terms of the sequence (x+1//x)^2,(x^2+1//x)^2,(x^3+1...

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