If the nth term of the A.P. 9,7,5,... is same as the nth term of the A.P. 15,12,9,... find n.
According to the question,
an=a+(n−1)d∴9+(n−1)(−2)=15+(n−1)(−3)⇒3n−3−2n+2=6⇒n−1=6n=7