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If the 10th term of an A.Pis 52 and 17th...

If the 10th term of an A.Pis 52 and 17th term is 20 more than the 13th term, find the A.P.

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To solve the problem step by step, we will use the properties of an Arithmetic Progression (A.P.). ### Step 1: Understand the terms of A.P. In an A.P., the nth term can be expressed as: \[ A_n = A_1 + (n-1)d \] where \(A_1\) is the first term, \(d\) is the common difference, and \(n\) is the term number. ...
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RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. For the following arithmetic progressions write the first term and ...

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  2. Is 184 a term of the sequence 3,7,11, ... ?

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  3. If the 10th term of an A.Pis 52 and 17th term is 20 more than the 1...

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  4. If the 8th term of an A.P. is 31 and the 15th term is 16 more than ...

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  5. Write the first five terms of each of the following sequences whose n ...

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  6. Let a sequence be defined by a1=1,a2=1 and an=a(n-1)+a(n-2) for al...

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  7. Find the next five terms of each of the following sequences given by: ...

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  8. Find the indicated terms in each of the following sequences whose nth ...

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  9. Write the first five terms of the sequence defined by an=(-1)^(n-1). 2...

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  10. Which term of the A.P. 3,10,17, ... will be 84 more than its 13th t...

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  11. Let sequence by defined by a1=3,an=3a(n-1)+1 for all n >1

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  12. A sequence is defined by an=n^3-6n^2+11 n-6. Show that the first three...

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  13. Which term of the arithmetic progression 8,14,20,26, ... will be 72 ...

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  14. Find the term of the arithmetic progression 9,12,15,18, ... which is 3...

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  15. If the n^(t h) term of an A.P. is (2n+1), find the sum of first n term...

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  16. Two A.P’s have the same common difference. The difference between thei...

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  17. Find the 8th term from the end of the A.P. 7,10,13, ..., 184

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  18. Find the sum of all three digit natural numbers, which are divisible b...

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  19. If (a^(n+1)+b^(n+1))/(a^n+b^n) is the A.M. between aa n db . Then, fin...

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  20. Find the number of integers between 50 and 500 which are divisible by ...

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