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Arithmetic Progression 
 
Problem : 1 [ Arithmetic Progression ]       Solve this type of problem
1. For given arithemetic progression series 7,3,-1,-5,-9 ,... find 10 th term and addition of first 10 th terms.
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Problem : 2 [ Arithmetic Progression ]       Solve this type of problem
2. For arithemetic progression f( 5 ) = 56 , f( 8 ) = 86 then find f( 10 ) and S( 10 ).
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Problem : 3 [ Arithmetic Progression ]       Solve this type of problem
3. For arithemetic progression f( 5 ) = 25 , f( 11 ) = 49 , then find n such that f(n) = 105 .
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Problem : 4 [ Arithmetic Progression ]       Solve this type of problem
4. For arithemetic progression S( 33 ) = 198 , then find f( 17 ).
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Problem : 5 [ Arithmetic Progression ]       Solve this type of problem
5. For arithemetic progression f( 17 ) = 6 , then find S( 33 ).
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Problem : 6 [ Arithmetic Progression ]       Solve this type of problem
6. For arithemetic progression f( 7 ) = 13 , S( 14 ) = 203 , then find f( 10 ) and S( 8 ).
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Problem : 7 [ Arithmetic Progression ]       Solve this type of problem
7. For arithemetic progression addition of 3 terms is 27 and their multiplication is 648 , then that nos.
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Problem : 8 [ Arithmetic Progression ]       Solve this type of problem
8. For arithemetic progression addition of first 17 terms is 24 and addition of first 24 terms is 17 , then find addition of first 41 terms.
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Problem : 9 [ Arithmetic Progression ]       Solve this type of problem
9. For arithmetic progression Sm = n and Sn = m then prove that Sm+n = -(m - n)
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Problem : 10 [ Arithmetic Progression ]       Solve this type of problem
10. For arithmetic progression Sm = n and Sn = m then prove that Sm-n = (m - n)(1 + 2n / m)
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Problem : 11 [ Arithmetic Progression ]       Solve this type of problem
11. The ratio of two arithemetic progression series is 3x+5 : 4x-2 , then find the ratio of their 10 th term.
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Problem : 12 [ Arithmetic Progression ]       Solve this type of problem
12. Find the sum of all natural nos between 100 to 200 and which are divisible by 4 .
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Problem : 13 [ Arithmetic Progression ]       Solve this type of problem
13. Find the sum of all natural nos between 100 to 200 and which are not divisible by 4 .
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Problem : 14 [ Arithmetic Progression ]       Solve this type of problem
14. For arithemetic progression addition of three terms is 15 and addition of their squres is 83 , then find that nos.
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Problem : 15 [ Arithmetic Progression ]       Solve this type of problem
15. If S1, S2, S3 are sum of n, 2n, 3n terms of arithmetic progression series then prove that S3 = 3(S2 - S1)
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Problem : 16 [ Arithmetic Progression ]       Solve this type of problem
16. If Sn is sum of n even terms of arithmetic progression series and Sn' is sum of n odd terms of arithmetic progression series then prove that Sn = (1 + 1/n) Sn'
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Problem : 17 [ Arithmetic Progression ]       Solve this type of problem
17. For arithemetic progression, addition of three terms is 51 and multiplication of end terms is 273 , then find that nos.
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Problem : 18 [ Arithmetic Progression ]       Solve this type of problem
18. For arithemetic progression of four terms, addition of end terms is 14 and multiplication of middle two terms is 45 , then find that nos.
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Problem : 19 [ Arithmetic Progression ]       Solve this type of problem
19. For arithemetic progression, addition of 4 terms is 4 and addition of multiplication of end terms and multiplication of middle terms is -38 , then find that nos.
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