Method and examples
 Arithmetic Progression 1. For given arithemetic progression series 7,3,-1,-5,-9 ,... find 10 th term and addition of first 10 th terms. 2. For arithemetic progression f( 5 ) = 56 , f( 8 ) = 86 then find f( 10 ) and S( 10 ). 3. For arithemetic progression f( 5 ) = 25 , f( 11 ) = 49 , then find n such that f(n) = 105 . 4. For arithemetic progression S( 33 ) = 198 , then find f( 17 ). 5. For arithemetic progression f( 17 ) = 6 , then find S( 33 ). 6. For arithemetic progression f( 7 ) = 13 , S( 14 ) = 203 , then find f( 10 ) and S( 8 ). 7. For arithemetic progression addition of 3 terms is 27 and their multiplication is 648 , then that numbers 8. For arithemetic progression addition of first 17 terms is 24 and addition of first 24 terms is 17 , then find addition of fir ... 9. For arithmetic progression Sm = n and Sn = m then prove that Sm+n = -(m - n) 10. For arithmetic progression Sm = n and Sn = m then prove that Sm-n = (m - n)(1 + 2n / m) 11. The ratio of two arithemetic progression series is 3x+5 : 4x-2 , then find the ratio of their 10 th term. 12. Find the sum of all natural numbers between 100 to 200 and which are divisible by 4 . 13. Find the sum of all natural numbers between 100 to 200 and which are not divisible by 4 . 14. For arithemetic progression addition of three terms is 15 and addition of their squres is 83 , then find that numbers 15. If S1, S2, S3 are sum of n, 2n, 3n terms of arithmetic progression series then prove that S3 = 3(S2 - S1) 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 ... 17. For arithemetic progression, addition of three terms is 51 and multiplication of end terms is 273 , then find that numbers 18. For arithemetic progression of four terms, addition of end terms is 14 and multiplication of middle two terms is 45 , then fi ... 19. For arithemetic progression, addition of four terms is 4 and addition of multiplication of end terms and multiplication of mi ... Problem 7 of 19 7. For arithemetic progression addition of 34 terms is and their multiplication is , then that numbers

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