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The sum of four numbers in G.P. is 60 an...

The sum of four numbers in G.P. is 60 and the arithmetic mean of the first and the last is 18. Find the numbers.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. If a, b and c are three consecutive terms of an A.P.,prove that k^a, k...

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  2. If 1/(x+y),1/(2y),1/(y+z) are three consecutive terms of an A.P., prov...

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  3. The sum of four numbers in G.P. is 60 and the arithmetic mean of the f...

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  4. Find Soo, for the following infinite G.P.'s : 1,1/2, 1/2^2, ...........

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  5. Find Soo, for the following infinite G.P.'s : 1,1/3,1/9, ..............

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  6. Find Soo, for the following infinite G.P.'s : 5,20/7,80/49 , ..........

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  7. Find Soo, for the following infinite G.P.'s : 50, 42.5, 36.125, .....

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  8. Find Soo, for the following infinite G.P.'s : 0.3, 0.18, 0.108, ......

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  9. Sum the following series : (sqrt(2)+1)+1+(sqrt(2)-1)+ .......+oo.

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  10. Sum the following Series : 2/5+3/5^2+2/5^3+3/5^4+ .............. to...

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  11. The value of 9^(1/3), 9^(1/9).9^(1/27)…………..upto infty is:

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  12. Given a G.P. with a= 729 and 7th term 64, determine S7.

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  13. The common ratio of a G.P. is -4/5 and the sum to infinity is 80/9. Fi...

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  14. Find Soo of G.P. whose first term is 28 and the fourth term is 4/49 .

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  15. The sum of an infinite number of terms of a G.P. is 15 and the sum of ...

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  16. Evaluate the following : 0. bar 45.

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  17. Evaluate the following : 1. bar 36.

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  18. Evaluate the following : 0.2 bar 35.

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  19. Evaluate the following : 0.bar 712.

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  20. Find a rational number of the following which will have as its expansi...

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