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If x= sum(n=0)^(oo) a^n, y=sum(n=0)^(oo)...

If `x= sum_(n=0)^(oo) a^n, y=sum_(n=0)^(oo) b^n, z= sum_(n=0)^(oo) c^n`, where a ,b, c are in A.P. and |a|<1, |b| <1, |c|<1, then x,y,z are in :

A

A.P.

B

G.P.

C

H.P.

D

A-G progression.

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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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