Answer :

The given arithmetic progression is 9, 13, 17, 21, …
Its first term a = 9
Common difference = d = 13 – 9 = 4.
So nth term an of the given arithmetic progression is given by
an = a + (n -1)d


Where,


a = First term of AP
d = Common difference of AP
and no of terms is ‘n’



Thus 24th term a24 = 9 + (24 - 1) × 4.
a24 = 9 + 23 × 4 = 9 + 92 = 101


Hence, 24th term is 101.


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