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

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

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` 4, 8, 16, 32 or 32 , 16, 8 , 4 `
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AAKASH INSTITUTE ENGLISH-SEQUENCES AND SERIES -Try Yourself
  1. A number consists of three digits in G.P. The sum of unit's digit and ...

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

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

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  4. Find the sum of indicated number of terms of each of the following G.P...

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  5. Find the sum of the following series : (1)/(4) + (1)/(2) + 1 + … to...

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  6. Find the sum of indicated terms of each of the following geometric pro...

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  7. Find the sum to n terms (i) 9 + 99 + 999 + … (ii) 0.2 + 0.22...

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  8. How many terms of the series 1+2+2^2+….. must be taken to make 511?

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  9. A bag contains a total of 20 books on physics and mathematics, Any po...

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  10. Find the sum to infinity of the following G.P. (i) 1, (1)/(3) , (1)/...

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  11. Find the sum of the following series , (i) 0.5 + 0.05 + 0.005 + 0...

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  12. Prove that (9^(1/3).9^(1/9).9^(1/27)............oo)=3

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  13. Show that 9^(1/(4)).9^(1/(8)).9^(1/(16).) . .."to" oo = 3

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  14. The sum of an infinite G.P. . Is 6 and its first term is 2 . Find the ...

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  15. If the common ratio is -4/5 and the sum of infinite terms in a G.P is ...

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  16. Represent the following as rational numbers : (i) 0.bar(8)5 " " (...

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  17. Represent the following as rational numbers : (i) 0.bar15 " " (ii)...

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  18. If a, b, c , d are in G.P. , then shown that (i) (a + b)^(2) , (b ...

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  19. If a, b, c are in G.P. , then show that (i) (a^(2) - b^(2))(b^(2)...

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  20. Find the G.M. between the numbers. (i) 6 and 216 " " (ii...

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