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If the sum of 1st n term of an AP is n(3n + 5), find its 10th term

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If the sum of n terms of an A.P. is 3n^2 + 5n and its m^("th") term is 164, find the value of m .

If the sum of 1st M terms of an AP is m. and the sum of 1st N terms is n, show that- the 1st term of this AP is (mN(N-1)-nM(M-1))/(MN(N-M))

If the sum of the first n terms of an AP is 4n-n^(2) , what is the first term (note that the first term is S_(1) )? What is the sum of first two terms? What is the second term? Similarly, find the 3rd, the 10th and the nth terms

If the sum of the first 14 terms of an AP is 1050 and its first term is 10 , find the 20th term .

If the sum of the first 14 terms of an AP is 1050 and its first term is 10, find the 20th term.

If the sum of the first n terms of an A.P. be n^(2)+3n , which term of it has the value 162 ?

If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289, find the sum of first n terms.

If the sum of sirst n terms of a G.P is p.sum of its first 2n terms is 3p,Prove that the sum of its first 3n terms is 7p.

If the sum of the n term of an AP is n^2 + 2n . which, term will be 201?

If the sum of first n terms of an A.P. series is n^(2) +2n, then the term of the series having value 201 is-

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 9-EXERCISE
  1. In a plane, if n number.of parallel lines intersect the P numbers of p...

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  2. In the expansion of (3x^2-1/x^3)^10:find the 7th term.

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  3. If the sum of 1st n term of an AP is n(3n + 5), find its 10th term

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  4. If the three straight lines y = 3x- 1, 2y = x + 3 and 3y - 4 = mx are ...

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  5. Find the co-ordinate of the image of (3, 2, -4) on xy plane.

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  6. If S=at^2+bt+c find [ds/dt]'t=2

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  7. If f(x) =1/x , then show thatlim(hrarr0)(f(2+h)-f(2))/h=-1/4

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  8. Find the probability of 53 Sunday in a Leap year ?

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  9. Show that the mean deviation with respect to Arithmetic mean is zero

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  10. If f(x)=1/x^2,show that f(x)-f(x+1)=(2x+1)/(x^2(x+1)^2)and hence again...

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  11. If acosphi=b costheta,show that a tantheta+b tanphi=(a+b)tan((theta+ph...

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  12. Show that tan20^@tan40^@tan80^@=sqrt3

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  13. Prove the following by the method of mathematical induction. :n^3+(n+1...

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  14. If the sum of 1+2r+3r^2+4r^3+...oo9/16,find the value of r.

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  15. In how many ways can the crew of an 8-oared boat be arranged if 2 of t...

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  16. Express(sqrt3-i)/(1-sqrt3i)in modulus amplitude form

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  17. In /\XYZthe equation of the perpendicularbisector of XY and XZ arc x-y...

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  18. Find the co-ordinate of the image of the point (-3, -1), with respect ...

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  19. Show that the circle with the portion of the line 3x + 4y = 12 interce...

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  20. Find the equation to the locus of a point whose distance from YZ plane...

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