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If the 8th term of an A.P. is 31 and the...

If the 8th term of an A.P. is 31 and the 15th term is 16 more than the 11th 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: Define the terms of the A.P. Let the first term of the A.P. be \( A \) and the common difference be \( D \). ### Step 2: Write the expressions for the terms given in the problem. The \( n \)-th term of an A.P. can be expressed as: \[ ...
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RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. Is 184 a term of the sequence 3,7,11, ... ?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. 150 workers were engaged to finish a piece of work in a certain number...

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