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Find the sum to 20 terms of 0.15,0.015,0...

Find the sum to 20 terms of 0.15,0.015,0.0015,..

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`a=0.15, r=0.015/0.15=0.1`
`S_n=a(1-r^n)/1-r rarr S_20=0.15[1-(0.1)^20]/1-0.1=0.15/0.9[1-(0.1)^20]=1/6 [1-(0 .1)^20]`
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V PUBLICATION-SEQUENCES AND SERIES-QUESTIONBANK
  1. Which term of the following sequences (a) 2,2 sqrt2, 4, . . . is 128 ...

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

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  3. Find the sum to 20 terms of 0.15,0.015,0.0015,..

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  4. Find the sum to n terms of the G.P.sqrt7,sqrt21,3sqrt7…

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

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

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

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

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

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

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

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

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

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

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

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

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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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