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Find the sum to n terms of the G.P.x^3,x...

Find the sum to n terms of the G.P.`x^3,x^5,x^7,…(xne+-1)`

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`a=x^3, r=x^5/x^3=x^2`
`S_n=a(1-r^n]/1-r=x^3[1-(x^2)^n]/1-x^2=x^3[1-x^2 n]/1-x^2`
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V PUBLICATION-SEQUENCES AND SERIES-QUESTIONBANK
  1. Find the sum to n terms of the G.P.sqrt7,sqrt21,3sqrt7…

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  2. Find the sum to n terms of the G.P. 1,-a,a^2,-a^3,...(ane-1)

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  3. Find the sum to n terms of the G.P.x^3,x^5,x^7,…(xne+-1)

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  4. Evaluate underset(K=1)overset11sum(2+3^K)

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  5. The sum of the first three terms of a GP is (39)/(10) and their produc...

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  6. How many terms of GP 3,3^2,3^3,..... are needed to give the sum 120?

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  7. The sum of the first three terms of a G. P is 16 and the sủm of the ne...

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

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  9. The sum of the first two terms of a GP Is -4 and the fifth term is 4 t...

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  10. If the 4 ^(th), 10^(th) and 16^ (th) terms of a G . P are x, y and z ...

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  11. Find the sum to n terms of the series: 8, 88, 888,…..

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

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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 GP are a,b,c respectively, show t...

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

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

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  17. 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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  18. Insert two numbers between 3 and 81 iso that the resulting sequence is...

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  19. Find the value of n so that (a^(n+1)+b^(n+1))/(a^n+b^n) may be the geo...

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  20. The sum of two numbers is 6 times their geometric mean, show that numb...

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