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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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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.

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 96 into four parts which are in A.P. and the ratio between product of their means to product of their extremes is 15 : 7.

Divide 28 into four parts in an A.P. so that the ratio of the product of first and third with the product of second and fourth is 8:15.

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4. (a) Divide 20 into 4 parts which are in A.P. and such that the product of the first and fourth to the product of the second and third are in the ratio 2:3.

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. Find the degree of the expression (1+x)(1+x^6)(1+x^(11))........(1+x^(...

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  2. In an A.P. of 99 terms, the sum of all the odd-numbered terms is 2550....

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

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  4. Show (m+n)th and (m-n)t h terms of an A.P. is equal to twice the mth ...

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  5. If the sum of three consecutive numbers in A.P., is 24 and their pr...

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  6. Prove that the sum of n number of terms of two different A.P. s can be...

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  7. In an A.P. if S1=T1+T2+T3+.....+Tn (n is odd)S2=T2+T4+T6+.........+T(n...

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  8. If the sum of the series 2, 5, 8, 11, ... is 60100, then find the valu...

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  9. The digits of a positive integer, having three digits, are in A.P. and...

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  10. If eleven A.M. ‘s are inserted between 28 and 10, then find the number...

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  11. Between 1 and 31, m numbers have been inserted in such a way that t...

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  12. Find the sum of first 24 terms of the A.P. a1,a2, a3 ......., if it i...

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  13. If the arithmetic progression whose common difference is nonzero the ...

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  14. The sum of n terms of two arithmetic progressions are in the ratio 5n+...

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  15. If the first two terms of as H.P. are 2/5 and 12/13, respectively. The...

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  16. Insert five arithmetic means  between 8 and 26. or Insert five numbers...

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  17. If a ,b ,c are in G.P. and a-b ,c-a ,a n db-c are in H.P., then prove ...

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  18. Find the number of terms in the series 20 ,19 1/3,18 2/3... the sum of...

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  19. If x ,ya n dz are in A.P., a x ,b y ,a n dc z in G.P. and a ,b ,c in H...

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  20. Find the sum of all three-digit natural numbers, which are divisible b...

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