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

If a,b,c, are in A.P., b,c,d are in G.P. and c,d,e, are in H.P., then a,c,e are in

A

a,b,c are in A.P

B

a,c,e are in G.P

C

b,c,e are neither in A.P nor in G.P nor in H.P

D

a,b,e are in H.P

Text Solution

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The correct Answer is:
B, C
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FIITJEE-PROGRESSION & SERIES -ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-II
  1. In a G.P. the product of the first four terms is 4 and the second ter...

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  2. if (m+1)th, (n+1)th and (r+1)th term of an AP are in GP.and m, n and r...

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  3. If three unequal positive real numbers a, b, c are in G.P. and b-c, c-...

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  4. For any three unequal numbers a,b and c (a-b)/(b-c) equals to

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  5. The numbers 1, 4, 16 can be three terms (not necessarily consecutive) ...

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  6. Let a and b be two positive unequal numbers , then (a^(n+1)+b^(n+1))/(...

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  7. Let a1, a2, a3, ,an be in G.P. such that 3a1+7a2+3a3-4a5=0. Then comm...

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  8. If x,y,z are positive numbers in A.P., then

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  9. The sequences {x(n)} is defined by x(k+1)=x(k)^(2)+x(k) and x(1) =1/...

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  10. If a,b,c are in G.P and a,p,q are in A.P such that 2a, b+p, c +q are...

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  11. If a,b,c three unequal positive quantities in H.P .then

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  12. If underset(k=1)overset(n)sum(underset(m=1)overset(k)summ^(2))=an^(4)+...

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  13. For a positive integer n , let a(n) = 1+ 1/2 + 1/3 +…+ 1/(2^(n)-1) ...

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  14. Let x(1),x(2),x(3) bet the roots of equation x^(3) - x^(2) +betax + ga...

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  15. The value of sum(r=1)^n1/(sqrt(a+r x)+sqrt(a+(r-1)x)) is -

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  16. Let S1, S2, be squares such that for each ngeq1, the length of a side...

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  17. If a, b, c, d are distinct integers in A. P. Such that d=a^2+b^2+c^2, ...

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  18. If a,b,c, are in A.P., b,c,d are in G.P. and c,d,e, are in H.P., then ...

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  19. if the equation x^(4)-4x^(3)+ax^(2)+bx+1=0 has four positive roots, th...

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  20. If a,b,and c are three terms of an A.P such that a != b then (b-c)/...

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