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The sum of the squares of three distinct...

The sum of the squares of three distinct real
numbers which are in GP is `S^(2)` , if their sum is `alpha S`, then

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VMC MODULES ENGLISH-SEQUENCE AND SERIES -JEE MAIN & Advance ( ARCHIVE)
  1. about to only mathematics

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  2. If S(1), S(2), S(3),...,S(n) are the sums of infinite geometric series...

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  3. The sum of the squares of three distinct real numbers which are in G...

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  4. If a , b , c , are positive real numbers, then prove that (2004, 4M) {...

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  5. If a,b,c are in AP and a^(2),b^(2),c^(2) be in HP. Then, prove that -(...

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  6. If A1,A2 be two A.M.\'s G1,G2 be the two G.M.\'s and H1,H2 be the two ...

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  7. Let a(1), a(2)...be positive real numbers in geometric progression. Fo...

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  8. If x,y,z are in HP, then show that log(x+z)+log(x+z-2y)=2 log (x-z)

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  9. about to only mathematics

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  10. If a >0,b >0 and c >0 prove that (1984, 2M) (a+b+c)(1/a+1/b+1/c)geq9

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  11. If the sum of first n terms of an A P is c n^2, then the sum of square...

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  12. Let Sn=sum(k=1)^(4n)(-1)(k(k+1))/2k^2dot Then Sn can take value (s) 10...

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  13. Let f(x)=ax^2 + bx+c whose roots are alpha and beta , a ne 0 and tr...

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  14. Let a, b, c be in an AP and a^2, b^2, c^2 be in GP. If a < b < c and a...

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  15. Let alphaa n dbeta be the roots of x^2-x+p=0a n dgammaa n ddelta be th...

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  16. Three positive numbers form an increasing GP. If the middle terms in t...

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  17. If (10)^9+2(11)^2(10)^7 +….+10 (11)^9 = k(10)^9

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  18. The sum of first 20 terms of the sequence 0.7 ,0.77 , 0.777 …., is

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  19. An infinite G.P. has first term as a and sum 5, then a belongs to a) |...

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  20. Consider an infinite geometric series with first term a and common rat...

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