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SAI International School

               Mathematics – Home Assignment

               Chapter-5: Arithmetic Progression



               Sub topics: Sum of ‘n’ terms


                   1.  Find the sum of the following arithmetic progressions:
                       (i) 50, 46, 42, ... to 10 terms
                       (ii) 1, 3, 5, 7, ... to 12 terms
                       (iii) 3, 9/2, 6, 15/2, ... to 25 terms
                       (iv) 41, 36, 31, ... to 12 terms
                   2.  How many terms are there in the A P. whose first and fifth terms are -14 and 2
                       respectively and the sum of the terms is 40?
                   3.  Find the sum of n terms of an A.P. whose nth terms is given by a n = 5 - 6n.
                                                                              th
                   4.  Find the sum of first 20 terms the sequence whose n  term is a n = An + B.






               Answers-


                   1.  (i) 320      (ii) 144      (iii) 525     (iv) 162
                   2.  n = 10
                   3.  n (2-3n)
                   4.  210 A + 20 B
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