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If `a_1,a_2,a_3,.......a_n` are in AP where `a_1 gt 0foralli` then the value of `1/(sqrta_1+sqrta_2)+1/(sqrta_2+sqrta_3)+....1/(sqrta_(n-1)+sqrta_n=`

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. Find the centre and radius of the circle: (x+5)^2+(y-3)^2=20

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  2. The interior angles of a polygon are in arithmetic progression. The sm...

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  3. If a1,a2,a3,.......an are in AP where a1 gt 0foralli then the value of...

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  4. Does there exist a GP containing 27,8 and 12 as three of its terms ? I...

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  5. Find three numbers a,b,c between 2 & 18 such that; their sum is 25; th...

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  6. The sum of 50 terms of the series 1+2(1+1/(50))+3(1+1/(50))^2+ is giv...

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  7. The sum of 50 terms of the series 3/(1^2)+5/(1^2+2^2)+7/(1^2+2^2+3^2)+...

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  8. Which term of the AP 3,10, 17,... will be 84 more than its 13th term?

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

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

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

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

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

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

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  16. Find the sum of first 10 evenwhole number.

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

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

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

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  20. 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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