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Three positive numbers from an increasing G.P. If the middle term in this G.P is double , the new numbers are in A.P then the common ratio of the G.P. is :

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Three positive numbers form an increasing G.P .If the middle term in this G.P is doubled , the new numbers are in A.P .Then the common ration of the G.P is -

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)

Sum of infinite number of terms in G.P. is 20 and the sum of their squares is 100, then the common ratio of the G.P. is-

If x ,2y ,3z are in A.P., where the distinct numbers x ,y ,z are in G.P, then the common ratio of the G.P. is a. 3 b. 1/3 c. 2 d. 1/2

Let t_(r) be the rth term of an A.P. If t_(2), t_(8) and t_(32) are in G.P., then find the common ratio of the G.P.

The first terms of a G.P. is 1. The sum of the third and fifth terms is 90. Find the common ratio of the G.P.

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.

The sum of first 6 terms of a G.P. is 9 times the sum of its first 3 terms. Find the common ratio of the G.P.

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.

Three numbers x, y, z are in G.P. Sum of the numbers is 65 and the product of the first and third numbers is 225. Find the common ratio.

CENGAGE PUBLICATION-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 positive numbers from an increasing G.P. If the middle term in t...

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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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