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Which term of the following sequences: ...

Which term of the following sequences:
`(1)/(3), (1)/(9), (1)/(27)`,….is `(1)/(19683)` ?

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The correct Answer is:
`9^(th)`
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KUMAR PRAKASHAN-SEQUENCE AND SERIES-Exercise: 9.3
  1. Which term of the following sequences: 2, 2 sqrt2, 4…..is 128?

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  2. Which term of the following sequences: sqrt3, 3, 3 sqrt3,…. Is 729?

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  3. Which term of the following sequences: (1)/(3), (1)/(9), (1)/(27),…....

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  4. For what values of x, the numbers -2/7 , x, -7/2 are in G.P ?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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