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Suppose a, b, c are in A.P. Prove that `(a+2b-c)(2b+c-a)(c+a-b)=4abc`

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A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. Suppose (b+c)/a,(c+a)/b,(a+b)/c are in A.P.Prove 1/a,1/b,1/c are also ...

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  2. Suppose a, b, c are in A.P. Prove that bc-a^2+ab-c^2=2b^2-(a^2+c^2). H...

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  3. Suppose a, b, c are in A.P. Prove that (a+2b-c)(2b+c-a)(c+a-b)=4abc

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  4. A farmer buys a used tractor for Rs. 12,000. He pays Rs. 6000 cash and...

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  5. A farmer buys a used tractor for Rs. 12,000. He pays Rs. 6000 cash and...

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  6. Find the 10^(th) term of the G.P. -3/4,1/2,-1/3,2/9,….

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  7. Which term of the progression 18, -12, 8,… is (512)/(729)?

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  8. The fourth, seventh and the last term of a G.P. are 10,80 and 2560 res...

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  9. The first term of a G.P is 1. The sum of the third and fifth terms is ...

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  10. Find sum of 5 + 55 + 555 + ... to n terms.

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  11. If x=1 +a + a^2+…. to oo, where |a| lt1 and y=1+b+b^2+… to oo , where ...

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  12. A square is drawn by joining the mid points of the sides of a square. ...

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  13. Find the 20^(th) and n^(th) terms of the G.P. 5/2,5/4,5/8,…

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  14. Find the 12^(th) term of a G.P. whose 8^(th) term is 192 and the commo...

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  15. The 5^th, 8^th and 11^th terms of a GP are p, q and s respectively. Pr...

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  16. The 4^(th) term of a G.P. is square of its second term and the first t...

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  17. Which term of the following sequences 2,2sqrt2,4…is 128?

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  18. Which term of the following sequences sqrt3,3,3sqrt3,...is 729?

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  19. Which term of the following sequences 1/3,1/9,1/27,...is1/19683?

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  20. Find the sum to 20 terms of 0.15,0.015,0.0015,..

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