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The number of terms in an AP is even. Th...

The number of terms in an AP is even. The sum of the odd terms is 24 while that of the even terms is 30. If the last term exceeds the first by 10.5 then find the number of terms.

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A DAS GUPTA-Progression, Related Inequalities and Series-Exercise
  1. if S1 , S2 , S3..........,Sq are the sums of n terms of q ,AP's whose ...

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  2. If S1 be the sum of (2n+1) term of an A.P. and S2 be the sum of its od...

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  3. The number of terms in an AP is even. The sum of the odd terms is 24 w...

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  4. The ratio of the sums of n terms of two Aps is (3n-13) : (5n+21). Find...

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  5. Find the AP in which the ratio of the sum to n terms to the sum of suc...

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  6. If x,2x+2,3x+3 are the first three terms of a GP, find the fifth term ...

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  7. In a GP, t4=27 and t7=729. Find t(11) where tn denotes the nth term.

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  8. In a GP, t4=27 and t7=729. Find t(11) where tn denotes the nth term.

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  9. In a GP, t(p+q)=a and t(p-q)=b. Prove that tp=sqrt(ab).

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  10. If the pth, qth and rth terms of a G.P. are a,b and c, respectively. ...

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  11. If a be the first term, b be the nth term and P be the product of n te...

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  12. If a,b,c are in GP, prove that (a^2-b^2)(b^2+c^2)=(b^2-c^2)(a^2+b^2).

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  13. If a, b, c, d are in G.P., then prove that: (b-c)^(2)+(c-a)^(2)+(d-b...

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  14. If a,b,c,d are in GP then prove that a+b,b+c,c+d are in GP.

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  15. If a,b,c,d are in GP then prove that a(b-c)^3=d(a-b)^3.

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  16. If a,b,c,d are in GP then prove that ax^3+bx^2+cx+d has a factor ax^2+...

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  17. Let a1,a2,a3,.....,an be in GP whose common ratio is r. Show that sum(...

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  18. Does there exist a GP containing 27,8 and 12 as threee of its terms ? ...

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  19. Prove that no GP can have three of its terms (not necessarily consecut...

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  20. The product of three numbers in GP is 216 and their sum is 19. Find th...

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