kth term of an AP 1. 5, 9, 13 is 45 then find the value of K

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kth term of an AP 1. 5, 9, 13 is 45 then find the value of K

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Answer:Given series is 1,5,9,13,17,…

Common difference (d)=5−1=4

First term is a=1

So n

th

term is t

n

=a+(n−1)d=1+(n−1)4=4n−3

∴t

n

=4n−3