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Find the 20^( th) and n^ (th) terms of...

Find the `20^( th) ` and `n^ (th) ` terms of the G. `P, 5/2, 5/4, 5/8...`

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Find the n^(th) term of the sequence 3,5,7,………

The ratio between the 4^(th) term and 8^(th) term of an arithmetic sequence is 5: 11 . " "10^(th) term of this sequence is 56 i) What is the common difference of this sequence? ii) Find the 16^(th) term. iii) Find the sum of first 25 terms.

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

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V PUBLICATION-SEQUENCES AND SERIES-QUESTIONBANK
  1. Insert three numbers between 1 and 256 so that the resulting sequence ...

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  2. If AM and GM of two numbers are 10 and 8 respectively, find the number...

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  3. Find the 20^( th) and n^ (th) terms of the G. P, 5/2, 5/4, 5/8...

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  4. Find the 12^(th) term of a G.P. whose 8^(th) term is 192 and the commo...

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  5. The 5^th, 8^th and 11^th terms of a GP are p, q and s respectively. Pr...

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  6. The 4^(th) term of a G.P. is square of its second term and the first t...

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  7. Which term of the following sequences (a) 2,2 sqrt2, 4, . . . is 128 ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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