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The sum of first ten terms of an A.P. is...

The sum of first ten terms of an A.P. is 155 and the sum of first two terms of a G.P. is 9. The first term of the A.P. is equal to the common ratio of the G.P., and the first term of the G.P. is equal to the common difference of the A.P. Find the two progressions.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. Let Tr be the rth term of an A.P. whose first term is a and common dif...

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  2. An infinite G.P. has first term ‘x’ and sum ‘5’, then x belongs to ,

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  3. If x= sum(n=0)^(oo) a^n, y=sum(n=0)^(oo) b^n, z= sum(n=0)^(oo) c^n, wh...

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  4. In the quadratic equation ax^2 + bx + c = 0. if delta = b^2-4ac and al...

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  5. The value of underset(n=1)overset(10)sum (sin . (2 n pi)/(11)- cos. (2...

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  6. Let a(1),a(2),a(3),"........." be terms are in AP, if (a(1)+a(2)+".......

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  7. If a geometric progression consisting of positive terms, each term equ...

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  8. The first two terms of a geometric progression add upto 12 the sum of ...

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  9. 1+2/3+6/(3^2)+10/(3^3)+14/(3^4)+...oo=

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  10. If the sum of first n terms of an AP is cn^(2), then the sum of square...

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  11. A person is to count 4500 currency notes, Let an denote the number of ...

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  12. A man saves Rs. 200 in each of the first three months of his service. ...

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  13. Let a(n) be the nth term of an AP, if sum(r=1)^(100)a(2r)= alpha " and...

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  14. The difference between any two consecutive interior angles of a polygo...

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  15. Find the sum Sn of the cubes of the first n terms of an A.P. and show ...

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  16. In a G.P the sum of the first and last terms is 66, the product of the...

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  17. The sum of first ten terms of an A.P. is 155 and the sum of first two ...

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  18. Find three numbers a,b,c between 2 and 18 such that : their sum is 25....

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  19. Find three numbers a,b,c between 2 and 18 such that : their sum is 25....

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  20. Find three numbers a,b,c between 2 and 18 such that : their sum is 25....

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