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If a ,b , a n dc are in G.P. and x ,y , ...

If `a ,b , a n dc` are in G.P. and `x ,y ,` respectively, are the arithmetic means between `a ,b ,a n db ,c` , then the value of `a/x+c/y` is `1` b. `2` c. `1//2` d. none of these

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. Which term of the AP 3,10, 17,... will be 84 more than its 13th term?

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  2. The sum of the series a-(a+d)+(a+2d)-(a+3d)+... up to (2n+1) terms is:...

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  3. If a ,b , a n dc are in G.P. and x ,y , respectively, are the arithmet...

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  4. Find the number of multiples of 4 lies between 10 and 250.

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  5. Find the sum 3/(1xx2)xx1/2+4/(2xx3)xx(1/2)^2+5/(3xx4)xx(1/2)^3+ to n t...

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  6. Find the sum of the series upto n terms ((2n+1)/(2n-1))+3((2n+1)/(2n-1...

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  7. If k, 2(k+1), 3(k+1) are in GP, Then find the value of k.

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  8. If the first and the nth terms of a G.P are a and b , respectively, an...

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  9. Find the sum of first 10 evenwhole number.

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  10. Find the sum of the natural numbers less than 100, which are divisible...

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  11. If the terms of the A.P, sqrt(a-x),sqrt(x),sqrt(a+x) are all in integ...

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  12. For a ,x ,>0 prove tht at most one term of the G.P. sqrt(a-x),sqrt(x),...

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  13. If 1/1^2+1/2^2+1/3^2+.... upto infty=pi^2/6 , then, find 1/1^2+1/3^2+1...

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  14. Coefficient of x^(18) in (1+x+2x^2+3x^3++18 x^(18))^2 equal to 995 b. ...

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  15. Let alpha , beta be the roots of x^2-x+p=0 and gamma,delta be the root...

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  16. If the sum of the first 2n terms of the AP 2,5,8.....is equal to the s...

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  17. Statement 1: If the arithmetic mean of two numbers is 5/2 geometric ...

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  18. Number of positive integral ordered pairs of (x,y), so that 8,x,y are ...

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  19. If three positive real numbers a,b ,c are in A.P such that a b c=4 , t...

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

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