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If in a progression a1, a2, a3, e t cdo...

If in a progression `a_1, a_2, a_3, e t cdot,(a_r-a_(r+1))` bears a constant atio with `a_rxxa_(r+1)` , then the terms of the progression are in a. A.P b. G.P. c. H.P. d. none of these

A

A.P.

B

G.P.

C

H.P.

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Chapter Test
  1. Given that n arithmetic means are inserted between two sets of numbers...

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  2. If a,b, and c are in G.P then a+b,2b and b+ c are in

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  3. If in a progression a1, a2, a3, e t cdot,(ar-a(r+1)) bears a constant...

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  4. If in an AP, t1 = log10 a, t(n+1) = log10 b and t(2n+1) = log10 c then...

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  5. Find the sum of the series: 1^2-2^2+3^2-4^2+.....-2008^2+2009^2.

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  6. If 4a^(2)+9b^(2)+16c^(2)=2(3ab+6bc+4ca)," where "a,b,c are non-zero nu...

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  7. If Sn denotes the sum of n terms of an A.P. whose common difference is...

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  8. The sides of a right angled triangle are in A.P., then they are in the...

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  9. Find the sum of all the 11 terms of an AP whose middle most term is 30...

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  10. The maximum sum of the series 20+19 1/3+18 2/3+ is 310 b. 300 c. 0320 ...

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  11. If three numbers are in G.P., then the numbers obtained by adding the ...

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

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  13. Let a,b,c be three positive prime number. The progrrssion in which sqr...

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  14. If 1/(b-a)+1/(b-c)=1/a+1/c , then (A). a ,b ,a n dc are in H.P. (B). a...

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  15. If three numbers are in H.P., then the numbers obtained by subtracting...

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  16. The first three of four given numbers are in G.P. and their last three...

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  17. In a G.P. of positive terms if any terms is equal to the sum of next ...

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  18. If a,b,c are in H.P and ab+bc+ca=15 then ca=

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  19. If sum(r=1)^(oo)(1)/((2r-1)^(2))=(pi^(2))/(8), then sum(r=1)^(oo) (1)/...

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  20. It is given that 1/1^4 + 1/2^4 +1/3^4 … to oo= pi^4/90 , then 1/1^4...

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