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Divide 28 into four parts in an A.P. so ...

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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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.

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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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. If a ,b ,c ,d ,e ,f are A.M.s between 2 and 12, then find the sum a+b+...

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  2. Three numbers are in G.P. If we double the middle term, we get an A.P....

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  3. Divide 28 into four parts in an A.P. so that the ratio of the product ...

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  4. The fourth, seventh, and the last term of a G.P. are 10, 80, and 2560,...

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  5. If (b-c)^2,(c-a)^2,(a-b)^2 are in A.P., then prove that 1/(b-c),1/(c-a...

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  6. If a ,b ,c,d are in G.P. prove that (a^n+b^n),(b^n+c^n),(c^n+d^n) ar...

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  7. Let Sn denote the sum of first n terms of an A.P. If S(2n)=3Sn , then ...

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  8. If p ,q ,a n dr are inA.P., show that the pth, qth, and rth terms of a...

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  9. Find four number in an A.P. whose sum is 20 and sum of their squares i...

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  10. Find the sum of the following series : 0. 7+0. 77+0. 777+ ton term...

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  11. Find the sum of the series 1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+1/(6^2+4)+oo

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  12. Prove that in a sequence of numbers 49,4489,444889,44448889 in which e...

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  13. Find the sum of first 100 terms of the series whose general term is ...

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  14. If the continued product o three numbers in a G.P. is 216 and the sum ...

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  15. Find the sum of the series 2/(1xx2)+5/(2xx3)xx2+(10)/(3xx4)xx2^2+(17)/...

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  16. The sum of some terms of G. P. is 315 whose first term and the comm...

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  17. A sequence of numbers An, n=1,2,3 is defined as follows : A1=1/2 and f...

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  18. The sum of three numbers in GP. is 56. If we subtract 1, 7, 21 from ...

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  19. Find the sum of the products of the ten numbers +-1,+-2,+-3,+-4,a n d+...

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  20. If a, b, c are in A.P., b, c, d are in G.P. and 1/c ,""1/d ,""1/e are ...

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