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If a , b, c, be in A.P. , b, c,d in G.P...

If a , b, c, be in A.P. , b, c,d in G.P. and c.d.e.in H.P., then prove that a , c, e will be in GP .

A

A.P.

B

G.P.

C

H.P.

D

none of these

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Exercise
  1. The sixth term of an A.P., a1,a2,a3,.............,an is 2. If the quan...

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  2. If (x+y)/(1-xy),y,(y+z)/(1-yz) be in A.P., " then " x,(1)/(y),z will b...

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  3. 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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  4. Three non-zero real numbers from an A.P. and the squares of these numb...

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

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  6. The n^(th) term of the sequence 4,14,30,52,80,114, . . . ., is

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  7. If |x|<1a n d|y|<1, find the sum of infinity of the following series: ...

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  8. If S(1),S(2)andS(3) denote the sum of first n(1)n(2)andn(3) terms resp...

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  9. If |a| < 1 and |b| < 1, then the sum of the series a(a+b)+a^2(a^2+b^2)...

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  10. If log(x)a, a^(x//2), log(b)X are in G.P. then x is equal to

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  11. If a ,b ,c ,d are in G.P., then prove that (a^3+b^3)^(-1),(b^3+c^3)^(-...

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  12. If 0ltxlt(pi)/(2) exp [(sin^(2)x+sin^(4)x+sin^(6)x+'.....+oo)log(e)2] ...

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  13. The value of 0.2

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  14. If the sum of an infinitely decreasing G.P. is 3, and the sum of the s...

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  15. If 1/(1^2)+1/(2^2)+1/(3^2)+..." to "oo = pi^2/6, " then " 1/1^2+1/3^2+...

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  16. The value of [(0.16)^(log(2.5)(1/3+1/3^2+1/3^3+….+oo))]^(1/2) is a) 1 ...

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  17. If the sum of the first n terms of series be 5n^(2)+2n, then its secon...

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  18. If x,|x+1|,|x-1| are first three terms of an A.P., then the sum of its...

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  19. If a1,a2,a3,... are in A.P. and ai>0 for each i, then sum(i=1)^n n/(a(...

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  20. 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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