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The 4^(t h)term of a G.P. is square of ...

The `4^(t h)`term of a G.P. is square of its second term, and the first term is `3`. Determine its `7^(t h)`term.

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Given, a=-3
Let the common ratio of G.P. be 'r'.
`T_(4)=(T_(2))^(2)`
`ar^(3)=(ar^(2))rArr r=-3`
`"Now "T_(7)=ar^(6)=(-3)(-3)^(6)=-20187.`
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NAGEEN PRAKASHAN ENGLISH-SEQUENCE AND SERIES-Exercise 9.3
  1. Find the 12^(t h)term of a G.P. whose 8th term is 192 and the common ...

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  2. The 5^(t h), 8^(t h)and 11^(t h)terms of a G.P. are p, q and s, respe...

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  3. The 4^(t h)term of a G.P. is square of its second term, and the first...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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