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The sum of first three terms of a G.P. i...

The sum of first three terms of a G.P. is `(39)/(10)` and their product is 1. Find the common ratio and the terms.

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The correct Answer is:
`(5)/(2), 1, (2)/(5)`
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KUMAR PRAKASHAN-SEQUENCE AND SERIES-Exercise: 9.3
  1. Find the sum to indicated number of terms in each of the geometric pro...

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  2. Evaluate underset(k=1)overset(11)Sigma (2 + 3^(k))

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  3. The sum of first three terms of a G.P. is (39)/(10) and their product ...

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  4. How many terms of G.P. 3, 3^2, 3^3, … are needed to give the sum 120?

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  5. The sum of first three terms of a G.P. is 16 and the sum of the next t...

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  6. Given a G.P. with a = 729 and 7^("th") term 64, determine S7 .

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  7. Find a G.P. for which sum of the first two terms is – 4 and the fifth ...

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  8. If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively...

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  9. Find the sum to n terms of the sequence, 8, 88, 888, 8888… .

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  10. Find the sum of the products of the corresponding terms of the sequenc...

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  11. Show that the products of the corresponding terms of the sequences a, ...

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  12. Find four numbers forming a geometric progression in which the third t...

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  13. If the p^("th"), q^("th") and r^("th") terms of a G.P. are a, b and ...

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  14. If the first and the n^("th") term of a G.P. are a and b, respectivel...

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  15. Show that the ratio of the sum of first n terms of a G.P. to the sum o...

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  16. If a, b, c and d are in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2) = (a...

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  17. Insert two numbers between 3 and 81 so that the resulting sequence is ...

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  18. Find the value of n so that (a^(n+1)+b^(n+1))/(a^(n)+b^n) may be the ...

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  19. The sum of two numbers is 6 times their geometric mean, show that numb...

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  20. If A and G be A.M. and G.M., respectively between two positive numbers...

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