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The sum of the 5th and the 7th terms of ...

The sum of the 5th and the 7th terms of an AP is 52 and the 10th term is 46. Find the AP.

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To solve the problem step by step, we will use the formulas for the terms of an arithmetic progression (AP) and the information given in the question. ### Step 1: Understand the nth term formula The nth term of an AP can be expressed as: \[ A_n = A + (n - 1) \cdot D \] where \(A\) is the first term, \(D\) is the common difference, and \(n\) is the term number. ...
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NCERT EXEMPLAR ENGLISH-ARITHMETIC PROGRESSIONS-Short Answer Type Questions
  1. Determine the AP whose fifth term is 19 and the difference of the eigh...

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  2. The 26th, 11th and the last terms of an AP are, 0, 3 and -(1)/(5), res...

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  3. The sum of the 5th and the 7th terms of an AP is 52 and the 10th term ...

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  4. Find the 20th term of the AP whose 7th term is 24 less than the 11th t...

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  5. If the 9th term of an AP is zero, then prove that its 29th term is twi...

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  6. Find whether 55 is a term of the AP 7, 10, 13, … or not. If yes, find ...

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  7. Determine k, so that k^(2)+4k+8, 2k^(2)+3k+6 and 3k^(2)+4k+4 are three...

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  8. Split 207 into three parts such that these are in A.P. and the product...

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  9. The angles of a triangle are in A.P. The greatest angle is twice the l...

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  10. If the nth terms of the two AP's 9, 7, 5, … and 24, 21, 18, … are the ...

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  11. If sum of the 3rd and the 8th terms of an AP is 7 and the sum of the 7...

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  12. Find the 12th term from the end of the AP -2, -4, -6, …, -100.

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  13. Which term of the AP 53, 48, 43, … is the first negative term ?

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  14. How many numbers lie between 10 and 300, which divided by 4 leave a re...

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  15. Find the sum of two middle terms of the AP -4/3,-1,-2/3,-1/3,...,4(1/3...

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  16. The first term of an AP is -5 and the last term is 45. If the sum of t...

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  17. Find the sum (i) 1+(-2)+(-5)+(-8)+ … +(-236) (ii) (4-(1)/(n))+(4-(...

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  18. Which term of the AP -2,-7,-12, … will be -77 ? Find the sum of this A...

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  19. If a(n)=3-4n, then show that a(1),a(2),a(3), … form an AP. Also, find ...

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  20. In an AP, If S(n)=n(4n+1), then find the AP.

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