A basic and conceptual question from arithmetic progression chapter in which we have given a series of AP 3, 7, 11, 15 and we have to find whether 184 is a term of the above series?
Book RS AGGARWAL, arithmetic progression, chapter 5A, question 22
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Here 1st term (a) = 3 and common difference (d) = 7 – 3 = 4
nth term an​=a+(n−1)d
⇒184=3+(n−1)4
⇒181=4n−4
⇒185=4n
⇒n=4185​
Since n is not a natural number
∴ 184 is not a term of the given sequence