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If `a ,b ,c in R^+t h e n(a+b+c)(1/a+1/b+1/c)` is always (a)`geq12` (b)`geq9` (c)`lt=12` (d)none of these``

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. If a ,b ,c ,d in R^+-{1}, then the minimum value of (log)d a+(log)b ...

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  2. If a ,b ,c in R^+, t h e n(b c)/(b+c)+(a c)/(a+c)+(a b)/(a+b) is alw...

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  3. If a ,b ,c in R^+t h e n(a+b+c)(1/a+1/b+1/c) is always (a)geq12 (b...

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  4. The first term of an arithmetic progression is 1 and the sum of the fi...

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  5. Let a, b , c be positive integers such that b/a is an integer. if a, b...

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  6. Suppose that all the terms of an arithmetic progression (A.P.) are nat...

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  7. If the sides of a right-angled triangle are in A.P., then the sines of...

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  8. The sum of an infinite geometric series is 162 and the sum of its firs...

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  9. If a ,b ,c are digits, then the rational number represented by 0 .c a ...

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  10. If a = underset(55 "times")underbrace(111.....1), b= 1+10+10^(2)+10^(3...

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  11. Consider the ten numbers a r ,a r^2, a r^3, ..... ,a r^(10)dot If the...

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  12. The sum of 20 terms of a series of which every even term is 2 times ...

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  13. Let an be the nth term of a G.P. of positive numbers. Let sum(n=1)^(10...

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  14. If the pth, qth, and rth terms of an A.P. are in G.P., then the common...

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  15. In a G.P. the first, third, and fifth terms may be considered as the ...

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

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

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

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