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Which of the following list of numbers does form an AP? If they form an AP. write the next two terms :(i) 4, 10, 16. 22, . . .(ii) 1,-1, -3,-5, . . .(iii) -2,2,-2,2, . . .(iv)1,1,1,2,2,2,3,3,3, . . . |
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Answer» (i) `4,10,16,22...` Here, difference between each term is `6`. So, it is an `AP`. Its next two terms will be `28,36`. (ii)`1,-1,-3,-5...` Here, difference between each term is `-2`. So, it is an `AP`. Its next two terms will be `-7,-9`. (iii)`-2,2,-2,2...` Here, difference between each term is not consistent. Sometimes, it is `4` and sometimes it is `-4`. So, it is not an `AP`. (iv)`1,1,1,2,2,2,3,3,3...` Here, difference between each term is not consistent. Sometimes, it is `0` and sometimes it is `1`. So, it is not an `AP`. |
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