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If t(k) is the k^(th) term of a G.P, the...

If `t_(k)` is the `k^(th)` term of a G.P, then show that `t_(n-k),t_(n),t_(n+k)` also form a GP for any positive integer k.

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SURA PUBLICATION-BINOMIAL THEOREM, SEQUENCES AND SERIES-EXERCISE 5.2
  1. Write the first 6 terms of the sequences whose n^(th) terms are given ...

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  2. Write the first 6 terms of the sequences whose n^(th) terms are given ...

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  3. Write the first 6 terms of the sequences whose n^(th) terms are given ...

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  4. Write the first 6 terms of the sequences whose n^(th) terms are given ...

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  5. Write the first 6 terms of the sequences whose n^(th) terms are given ...

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  6. Write the first 6 terms of the sequences whose n^(th) terms are given ...

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  7. Write the first 6 terms of the sequences whose n^(th) term a(n) is giv...

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  8. Write the first 6 terms of the sequences whose n^(th) term a(n) is giv...

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  9. Write the first 6 terms of the sequences whose n^(th) term a(n) is giv...

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  10. Write the n^(th) term of the following sequences. 2, 2, 4, 4, 6, 6,

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  11. Write the n^(th) term of the following sequences. 1/2,2/3,3/4,4/5,5/...

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  12. Write the n^(th) term of the following sequences. 1/2,3/4,5/6,7/8,9/...

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  13. Write the n^(th) term of the following sequences. 6, 10, 4, 12, 2, 1...

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  14. The product of three increasing numbers in GP is 5832. If we add 6 to ...

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  15. Write the n^(th) term of the sequence 3/(1^(2)2^(2)),5/(2^(2)3^(2)),7/...

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  16. If t(k) is the k^(th) term of a G.P, then show that t(n-k),t(n),t(n+k)...

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  17. If a, b, c are in geometric progression, and if a^(1/x)=b^(1/y)=c^(1/z...

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  18. The AM of two numbers exceeds their GM by 10 and HM by 16. Find the nu...

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  19. If the roots of the equation (q-r)x^(2)+(r-p)x+p-q=0 are equal, then ...

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  20. If a, b, c are respectively the p^(th)q^(th)andr^(th) terms of a GP. S...

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