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The first term and common ratio of a G.P...

The first term and common ratio of a G.P. are both positive. The product of first and second term is 9 and that of first and fourth term is 144. Find the third term.

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KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. The sum of the second and third term of a G.P. is 3 and that of fourth...

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  2. The third term of a G.P. is square of the first term. The fifth term i...

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  3. The first term and common ratio of a G.P. are both positive. The produ...

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  4. The first, fourth and thirteenth term of an A.P. are in G.P. If the...

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  5. In a G.P., the (p + q)th term is m and (p-q)th term is n. Find its pth...

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  6. The sum of three numbers in G.P. is 52 and their product is 1728.Find...

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  7. The sum of three positive numbers in G.P. is 21. The sum of second and...

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  8. The sum of three numbers in G.P. is 26. If the product of first and th...

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  9. The sum of three numbers in G.P. is 7. If sum of their squares is 21, ...

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  10. The sum of three numbers in A.P. is 18. If 2, 4 and 11 are added to th...

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  11. The sum of three numbers in A.P. is 15. If 1, 4 and 19 are added to th...

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  12. The product of three numbers in G.P. is 512. If 8 be added to the fi...

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  13. The sum of three numbers in G.P. is 70. If the first and last ter...

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  14. Divide 42 in three parts which are in G.P. such that the square of ...

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  15. If 1, 1, 3 and 9 be added respectively to four members in A.P. then a ...

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  16. x and y are two positive integers such that 2,x, y are in A.P. and x, ...

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  17. The numbers x, 8, y (xney) are in G.P. and the numbers x, y,-8 are in...

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  18. If a, b, c are in A.P. and a,b, d are in G.P., prove that a, a-b, d-c ...

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  19. If a,b,c are in G.P., show that 1/(a+b),1/(2b),1/(b+c) are in A.P.

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  20. If a, b, c are in A.P. and a, b, c + 1 are in G.P. then prove that 4a=...

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