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In a sequence of 21 terms the first 11 t...

In a sequence of 21 terms the first 11 terms are in A.P. with common difference 2. and the last 11 terms are in G.P. with common ratio 2. If the middle tem of the A.P. is equal to the middle term of the G.P., then the middle term of the entire sequence is

A

`-10/31`

B

`10/31`

C

`32/31`

D

`-31/32`.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. If a1, a2, ............, an are in A.P.with common difference d ne 0, ...

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  2. The arithmetic mean of first n odd natural numbers is :

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  3. In a sequence of 21 terms the first 11 terms are in A.P. with common d...

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  4. If the sum to 2n terms of the A.P. 2, 5, 8, 11, .... is equal to the s...

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  5. The third term of a GP is 3. What is the product of the first five ter...

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  6. If the sum of the first two terms and the sum of the first four terms ...

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  7. If n> 1 and log2 x,log3 x, logx 16, are in G.P., then what is x equal ...

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  8. In a geometric progression with first term a and common ratio r, what ...

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  9. The harmonic mean of two numbers is 21.6. If one of the numbers is 27,...

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  10. Given that alpha,gamma are roots of the equation A x^2-4x+1=0,a n dbet...

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  11. Consider an infinite geometric series with first term a and common rat...

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  12. Sum of the n terms of the series (3)/(1^(2))+(5)/(1^(2)+2^(2))+(7)/(1^...

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  13. Let alpha and beta be the roots of x^2-x+p=0 and gamma and delta be th...

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  14. Let the positive numbers a, b, c, d be in A.P. Then abc, abd, acd, bcd...

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  15. If the sum to 2n terms of the A.P. 2, 5, 8, 11, .... is equal to the s...

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  16. Suppose a,b,c are in AP and a^(2),b^(2),c^(2) are in GP, If agtbgtc an...

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  17. 5th term of a G.P. is 2, then the product of first 9 terms is:

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  18. Find the sum of n terms of the series 1. 2^2+2. 3^2+3. 4^2+

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  19. If the A.M of two numbers is 9 and G.M is 4, then these numbers are ro...

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  20. Let Tr be the rth term of an A.P. whose first term is a and common dif...

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