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The third term of an A.P. is (1)/(5) and...

The third term of an A.P. is `(1)/(5)` and the 5th term is `(1)/(3)`. Show that the sum of 15 terms of the A.P. is 8.

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CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 B (Short Answer Type Questions)
  1. The third term of an A.P. is (1)/(5) and the 5th term is (1)/(3). Show...

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  2. The sum of p terms of a series is 3p^(2) + 5p. Prove that the terms of...

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  3. Find the 12th term of a series in A.P., whose sum of n terms is 4n^(2)...

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  4. If 51+53+55+…+ t(n) = 5151, then find the value of t(n).

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  5. If the sum of the first n terms of an A.P. be n^(2)+3n, which term of ...

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  6. How many terms of the series {27+24+21+…} must be added to get the sum...

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  7. The first and last terms of an A.P. having a finite number of terms ar...

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  8. The nth term of an A.P. is p and the sum of its first n terms is q. Pr...

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  9. Find the sum of the series {2+3+5+9+8+15+11+21+….} to {2n+1} terms.

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  10. How many even numbers are there between 91 and 259 ? Find also the sum...

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  11. Find the sum of all the multiples of 11 between 100 and 400.

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  12. Find the sum of all the numbers of the form n^(3) lying between 100 an...

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  13. The nth term of an A.P. is 7n-5, find the sum of first 20 terms of the...

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  14. The middle term of an arithmetic progression having (2n+1) terms is m,...

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  15. The sum of three integers in A.P. is 15 and their product is 80, find ...

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  16. The sum of four integers in A.P. is 20 and the sum of their squares is...

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  17. Divide 21 into three parts in A.P. such that the product of the first ...

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  18. The ratio of the 11th and 14th terms of an A.P. is 7:9, find the ratio...

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  19. Insert five arithmetic means between (-19) and 23.

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  20. There are n arithmetic means between 4 and 31 such that the second mea...

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