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The first, fourth and thirteenth term o...

The first, fourth and thirteenth term of an A.P. are in G.P. If the first term of the A.P. is 3, find the A.P.

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KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. The third term of a G.P. is square of the first term. The fifth term i...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. 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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  18. 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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  19. 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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  20. If x,y,z are in G.P and p,q,r are in A.P then prove that x^(q-r) y^(r-...

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