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For what value of x, the number -2/7,x ,...

For what value of x, the number `-2/7,x ,-2/7`are in G.P.?

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The correct Answer is:
N/a
`-(2)/(7),x,-(7)/(2)" are in G.P."`
`rArr" "x^(2)=(-(2)/(7))(-(7)/(2))`
`=1`
`rArr" "x=pm1`
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NAGEEN PRAKASHAN ENGLISH-SEQUENCE AND SERIES-Exercise 9.3
  1. The 4^(t h)term of a G.P. is square of its second term, and the first...

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  2. Which term of the following sequences:(a) 2,2sqrt(2),4,. . . is 128? (...

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  3. For what value of x, the number -2/7,x ,-2/7are in G.P.?

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  4. Find the sum to indicated number of terms in each of the geometric ...

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  5. Find the sum to indicated number of terms in each of the geometric pr...

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  6. Find the sum to indicated number of terms in each of the geometric pr...

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  7. Find the sum to indicated number of terms in each of the geometric pro...

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  8. "Evaluate "Sigma(k=1)^(11) (2+3^(k))

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

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  10. How many terms of G.P. 3,3^2,3^3,dotdotdotare needed to give the sum 1...

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

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  12. Given a G.P with a=729 and 7th term 64,determine S(7).

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

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  14. If the 4^(t h), 10^(t h)and 16^(t h)terms of a G.P. are x, y and z, r...

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

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  16. Find the sum of the products of the corresponding terms of the sequen...

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  17. Show that the products of the corresponding terms of the sequence a,...

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

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  19. If the p^(t h),q^(t h)and r^(t h)terms of a GP are a, b and c, respec...

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  20. If the first and the nth term of a G.P. are a and b, respectively, and...

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