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Divide 32 into four parts which are in A...

Divide 32 into four parts which are in A.P. such that the product of extremes is to the product of means is `7: 15.`

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Divide 32 into four parts which are in A.P. such that the ratio of the product of extremes to the product of means is 7:15.

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RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. We know that the sum of the interior angles of a triangle is180^0 . S...

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  2. If S1 be the sum of (2n+1) term of an A.P. and S2 be the sum of its od...

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  3. Divide 32 into four parts which are in A.P. such that the product of ...

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  4. If theta1,theta2,theta3, ,thetan are in AP, whose common difference ...

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  5. If (m+1) term of an A.P. is twice the(n+1) th term, prove that (3m+1) ...

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  6. If a1,a2,a3, ,an are in A.P. with common difference d(w h e r ed!=0), ...

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  7. If an A.P. is such that (a4)/(a7)=2/7, find (a6)/(a8) .

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  8. The 4th term of an A.P. is three times the first and the 7th term e...

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  9. Find the number of terms common to the two AP's 3,7,11,15.... 407 and...

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  10. the sum of terms equidistant from the beginning and end in an A...

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  11. If a1,a2,a3, ,an are an A.P. of non-zero terms, prove that 1/(a1a2)+...

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  12. If a1,a2,a3, ,an are in A.P., where ai >0 for all i , show that 1/...

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  13. The p^(t h) term of an A.P. is a and q^(t h) term is b Prove that t...

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  14. If S1,S2, S3, Sm are the sums of n terms of m A.P. ' s whose first ter...

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  15. Let Sn be the sum of first n terms of an A.P. with non-zero common d...

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  16. If there are (2n+1) terms in A.P., then prove that the ratio of the su...

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  17. The ratio of the sum of n terms of two A.P. s is (7n+1):(4n+27) . Fin...

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  18. Show that x^2+x y+y^2,z^2+xz+x^2, y^2+y z+z^2, are consecutive terms o...

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  19. If a ,b ,c are in A.P., prove that: i.(a-c)^2=4(a-b)(b-c) ii.a^2+c^2...

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  20. Find the sum of all those integers between 100 and 800 each of which o...

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