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Find the sum to indicated number of term...

Find the sum to indicated number of terms in each of the geometric progressions in
`sqrt7, sqrt(21)3sqrt7` , ........n terms

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The correct Answer is:
`sqrt7/2(sqrt3+1)(3^(n/2)-1)`
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NCERT GUJARATI-SEQUENCES AND SERIES-EXERCISE 9.3
  1. For what values of x, the numbers -2/7 , x, -7/2 are in G.P ?

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

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

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

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

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  6. Evaluate sum(k-1)^11(2+3^k)

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  7. The sum of first three terms of a G.P. is and their product is 1. Find...

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

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

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

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

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

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

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

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

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

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

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

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

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  20. 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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