9,13,17 is an arithmetic sequence find its 10th term? is 2012 a term of the sequence ? why? Share with your friends Share 2 Tanveer Sofi answered this The given arithmetic sequence is9,13,17,..........The first term of the arithmetic sequence, a=9and its common difference, d=13-9=4.The nth term of arithmetic sequence tn=a+n-1dNow, the 10th term is given byt10=a+10-1d =9+94=9+36=45.Let, 2012 be the nth term of the given arithmetic sequence.Therforea+n-1d=2012⇒9+n-14=2012⇒4n-1=2012-9=2003⇒4n-4=2003⇒4n=2003+4⇒n=20074.Clearly, n is not a natural number, as 2007 is not divisible by 4.But, 2012 will be nth term of the given sequence, iff n is a natural number.Therefore, 2012 is not a term of the given sequence. 3 View Full Answer Basil James answered this 59 -1 Basil James answered this 58 -1
