1.

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, . . .

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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