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Determine the AP. whose 3rd term is 5 and 7th term is 9 |
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Answer» 3rd term of the AP: a+2d = 5 …(1)7th term: a+6d = 9 …(2)Subtract (1) from (2)4d = 4, ord = 1 and so a = 3.The AP is 3,4,5,6,…. 3rd term of the AP: a+2d = 5 …(1)7th term: a+6d = 9 …(2)Subtract (1) from (2)4d = 4, ord = 1 and so a = 3.The AP is 3,4,5,6,…. Here a3= a+2d =5___(1) a7= a+6d =9___(2) Subtracting 2 from 1a+2d-a-6d = 5-9=> -4d = -4 d= 1Now a+2d = 5 a = 5-2dPutting the value of (d) a= 5- 2(1) a = 3The required AP is 3,4,5,6,7...... |
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