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In an A.P. given that the first term (a)...

In an A.P. given that the first term (a) = 54, the common difference (d) = -3 and the `n^(th)` term `(a_(n))=0`, find n and the sum of first n terms `(S_(n))` of the A.P.

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EDUCART PUBLICATION-ARITHMETIC PROGRESSIONS-SHORT ANSWER (SA - I) TYPE QUESTIONS
  1. Determine the AP whose third term is 16 and the 7th term exceeds the 5...

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  2. Two A.P have the same common difference. The first term of one A.P is ...

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  3. Which term of the AP 3, 15, 27, 39,… will be 120 more than its 21st te...

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  4. If S(n) the sum of first n terms of an A.P. is given by Sn = 3n^(2) ...

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  5. Find the sum of first 8 multiples of 3

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  6. If seven times the 7th term of an AP is equal to eleven times the 11th...

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  7. The 10^(th) term of an A.P. is -4 and its 22^(nd) term is (-16). Find ...

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  8. Find how many integers between 200 and 500 are divisible by 8.

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  9. Determine the AP whose 3^(r d)term is 5 and the 7^(t h)term is 9.

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  10. If the sum of the first 9 terms of an AP is equal to the sum of its fi...

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  11. Find the number of natural numbers between 102 and 998 which are divis...

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  12. For what value of n, are the n^(th) terms of two APs : 63, 65, 67,… an...

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  13. The common difference between the terms of two AP's is same. If the di...

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  14. In an AP, it is given that S(5) + S(7) = 167 "and" S(10) = 235, then f...

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  15. If the 4th term of an A.P. is zero, prove that the 25th term of the A....

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  16. In an A.P. given that the first term (a) = 54, the common difference ...

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  17. If 6 times the 6^(th) term of an A.P, is equal to 9 times the 9^(th) t...

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  18. Find the sum of all the 11 terms of an AP whose middle most term is 30...

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  19. Find the sum of the first 15 multiples of 8.

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  20. Two APs have the same common difference. The difference between their...

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