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Question
Show that each of the progressions given below is an AP. Find the first term, common difference and next term of each.
(i) 9, 15, 21, 27,…………
Solution
The given progression 9, 15, 21, 27,…………
Clearly, 15 – 9 = 21 – 15 = 27 – 21 = 6 (Constant)
Thus, each term differs from its preceding term by 6. So, the given progression is an
AP.
First term = 9
Common difference =6
Next term of the AP = 27 + 6 = 33
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