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Three numbers are in G.P. If we double t...

Three numbers are in G.P. If we double the middle term, we get an A.P. Then find the common ratio of the G.P.

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The sum of infinite number of terms in G.P. is 20 and the sum of their squares is 100. Then find the common ratio of G.P.

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If each term of an infinite G.P. is twice the sum of the terms following it, then find the common ratio of the G.P.

Three numbers form an increasing G.P. If the middle number is doubled, then the new numbers are in A.P. The common ratio of the G.P. is (A) 2-sqrt(3) (B) 2+sqrt(3) (C) sqrt(3)-2 (D) 3+sqrt(2)

If the pth ,qth and rth terms of an AP are in G.P then the common ration of the GP is

The first, eighth and twenty-second terms of an A.P. are three consecutive terms of a G.P. Find the common ratio of the G.P. Given also that the sum of the first twenty-two terms of the A.P.is 275, find its first term.

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. The first terms of  a G.P. is 1. The sum of the third and fifth ter...

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

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

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

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  6. 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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  7. 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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  8. Let Sn denote the sum of first n terms of an A.P. If S(2n)=3Sn , then ...

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

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

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

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

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

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

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

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

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

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

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

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