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Let T(r) be the rth term of an A.P. If m...

Let `T_(r)` be the rth term of an A.P. If m. `T_(m) = n.T_(n)`, the show that, `T_(m+n) = 0`.

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CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 B (Very Short Answer Type Questions)
  1. The 10th term of an A.P. is (-15) and the 31st term is (-57). Find the...

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  2. If the pth term of an arithmetic progression is q and the qth term is ...

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  3. Let T(r) be the rth term of an A.P. If m. T(m) = n.T(n), the show that...

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  4. Which term of the A.P. {7, 11, 15, 19,….} is 111 ?

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  5. Is 600 a term of the A.P. {2, 9, 16, 23,…} ? Give reasons for your ans...

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  6. Fill up the gaps (indicated by ) in each of the following A.P.'s. 1,...

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  7. Fill up the gaps (indicated by ) in each of the following A.P.'s. ,...

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  8. Given, a^(2) + 2a + 2, 3a^(2) + 6a + 6 and 4a^(2) + 5a + 4 are in A.P....

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  9. The nth term of an arithmetic progression is 3n-1. Find the progressio...

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  10. Find the middle term (or terms) and the sum of each of the following s...

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  11. Find the middle term (or terms) and the sum of each of the following s...

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  12. Find the middle term (or terms) and the sum of each of the following s...

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  13. The twelfth term of an A.P. is (-13) and the sum of its first four ter...

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  14. The 5th and 11th terms of an A.P. are 41 and 20 respectively. What is ...

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  15. The sum to n terms of an A.P. is n^(2). Find the common difference.

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  16. Show that the sum of n terms of the series {4+12+20+28+…} is the squar...

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  17. Prove that when 1 is added to the sum of n terms of the series {8+16+2...

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  18. Find the sum of the series 1+3+4+8+7+13+10+18+… to 23 terms.

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