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Find a G.P. for which sum of the first t...

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

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The correct Answer is:
`(-4)/3,(-8)/3,(-16)/3,......" or "4,-8,16,-32,64.........`
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NCERT TELUGU-SEQUENCES AND SERIES-EXERCISE 9.3
  1. Find the sum to indicated number of terms in each of the geometric pro...

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

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

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  4. The sum of first three terms of a G.P. is 39/10 and their product is 1...

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  5. How many terms of a G.P.3,3^2,3^3,……….. Are needed to give the sum 120...

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

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

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

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

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

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

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

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

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

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  15. 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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  16. Insert two numbers between 3 and 81 so that the resulting sequence is ...

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  17. If (a^(n+1)+b^(n+1))/(a^n+b^n) is the AM of a and b then n = …………

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  18. The number of bacteria in a certain culture doubles every hour. If the...

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  19. What will Rs 500 amounts to in 10 years after its deposit in a bank wh...

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  20. If A.M. and G.M. of roots of a quadratic equation are 8 and 5, respect...

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