The nth term of the sequence1 , n + 1 , 2n + 1 .......is

From the given question ,

First term, a =	1
	n

Common difference, d =	n + 1	-	1	=	n + 1 - 1	= 1
	n		n		n

∴ nth term = a + (n –1) d

nth term =	1	+ (n - 1) . 1
	n

nth term =	1 + n² - n	=	n² - n + 1
	n		n