Find the 12th term from the end of the following arithmetic progression:

3, 8, 13, … 253

A.P is known for Arithmetic Progression whose common difference = an – an-1 where n > 0


a = a1 = 3, a2 = 8, l = 253


Common difference, d = a2 – a1 = 8 – 3 = 5


We know, nth term from end, bn = l – (n – 1)d where l is last term or a1 and d is common difference and n is any natural number


b12 = 253 – (12 – 1)5


b12 = 253 – 60 + 5


b12 = 258 – 60


b12 = 198


Hence, 12thterm from end for the given A.P is 198


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