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For what value of n, are the n^(th) term...

For what value of n, are the `n^(th)` terms of two APs : 63, 65, 67,… and 3, 10, 17,… equal ?

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CPC CAMBRIDGE PUBLICATION-ARITHMETIC PROGRESSIONS-EXERCISE 1.3
  1. How many multiples of 4 lie between 10 and 250 ?

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

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  3. Determine the AP whose third term is 16 and the 7^(th) term exceeds th...

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  4. Find the 20^(th) term from end of the sequence 3,8,13 …… 253.

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  5. The sum of the 4^(th) and 8^(th) terms of an AP is 24 and the sum of t...

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  6. Subba Rao started work in 1995 at an annual salary of Rs.5000 and rece...

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  7. Ramkali saved Rs.5 in the first week of a year and then increased her ...

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  8. Find the sum of the following Aps: (i) 2, 7, 12, …….., to 10 terms. ...

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  9. Find the sums given below : (i) 7+10(1)/(2)+14+……..+84 (ii) 34+32...

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  10. In an AP: (i) given a=5, d=3, a(n)=50, find n and S(n). (ii) give...

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  11. How many terms of the A.P : 9, 17 25,… must be taken to give sum of 63...

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  12. The first of an A.P is 5, the last term is 45 and the sum is 400. Find...

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  13. The first and the last terms of an A.P are 17 and 350 respectively. If...

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  14. Find the sum of first 22 terms of an A.P in which d = 7 and 22nd term ...

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  15. Find the sum of first terms of an A.P whose second and third terms are...

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  16. If the sum of first 7 terms of an A.P is 49 and that of 17 terms is 28...

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  17. Show that a(1), a(2), ….,a(n),… form an A.P where an is defined as bel...

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  18. If the sum of the first n^(th) terms of an A.P is 4n-n^(2) , what is t...

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  19. Find the sum of the first 40 positive integers divisible by 6.

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

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