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If the pth, qth, rth, and sth terms of an A.P. are in G.P., then `p-q ,q-r ,r-s` are in a. A.P. b. G.P. c. H.P. d. none of these

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If the pth, qth, rth, and sth terms of an A.P. are in G.P., t hen p-q ,q-r ,r-s are in a. A.P. b. G.P. c. H.P. d. none of these

If pth, qth , rth and sth terms of an AP are in GP then show that (p-q), (q-r), (r-s) are also in GP

If a ,b ,c are in A.P., the a/(b c),1/c ,1/b will be in a. A.P b. G.P. c. H.P. d. none of these

If a^2+b^2,a b+b c and b^2+c^2 are in G.P., then a ,b ,c are in a. A.P. b. G.P. c. H.P. d. none of these

If a^2+b^2,a b+b c ,a n db^2+c^2 are in G.P., then a ,b ,c are in a. A.P. b. G.P. c. H.P. d. none of these

If a^2+b^2,a b+b c ,a n db^2+c^2 are in G.P., then a ,b ,c are in a. A.P. b. G.P. c. H.P. d. none of these

If the pth ,qth and rth terms of an AP are in G.P then the common ration of the GP is

If the pth, qth and rth terms of an A. P. are in G.P., prove that the common ratio of the G.P. is (q-r)/(p-q) .

If p^(t h),\ q^(t h),\ r^(t h)a n d\ s^(t h) terms of an A.P. are in G.P., then show that (p-q),\ (q-r),\ (r-s) are also 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

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. In a G.P. the first, third, and fifth terms may be considered as the ...

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  2. If a,b,c,d be in G.P. show that (b-c)^2+(c-a)^2+(d-b)^2=(a-d)^2.

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  3. If the pth, qth, rth, and sth terms of an A.P. are in G.P., then p-q ,...

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  4. A B C is a right-angled triangle in which /B=90^0 and B C=adot If n po...

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  5. If (1-p)(1+3x+9x^2+27 x^3+81 x^4+243 x^5)=1-p^6,p!=1 , then the value ...

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  6. ABCD is a square of length a, a in N, a > 1. Let L1, L2 , L3... be poi...

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  7. Let Tr a n dSr be the rth term and sum up to rth term of a series, res...

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  8. If (1+3+5++p)+(1+3+5++q)=(1+3+5++r) where each set of parentheses cont...

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  9. If a x^3+b x^2+c x+d is divisible by a x^2+c ,t h e na ,b ,c ,d are in...

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  10. The line x+ y = 1 meets X-axis at A and Y-axis at B,P is the mid-poin...

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  11. In a geometric series, the first term is a and common ratio is rdot If...

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  12. If x ,y ,a n dz are distinct prime numbers, then (a).x , y , a n dz ma...

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  13. If x ,y , and z are in G.P. and x+3,y+3, and z+3 are in H.P., then y=2...

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  14. If A.M., G.M., and H.M. of the first and last terms of the series of 1...

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  15. The sum 1+3+7+15+31+...to100 terms is a. 2^(100)-102 b. 2^(99)-101 c...

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  16. In a sequence of (4n + 1) terms the first (2n + 1) terms are in AP wh...

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  17. The coefficient of x^(49) in the product (x-1)(x-3)(x-99)i s a. -99^...

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  18. Let S=4/(19)+(44)/(19^2)+(444)/(19^3)+ u ptooo . Then s is equal to a....

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  19. If Hn=1+1/2+...+1/ndot , then the value of Sn=1+3/2+5/3+...+(99)/(50) ...

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  20. If the sum to infinity of the series 1+2r+3r^2+4r^3+ is 9/4, then val...

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