What is the nth term of the arithmetic sequence 1,9,17,25?
8n - 7
the terms of an arithmetic sequence are
a , a+d , a + 2d , a + 3d ,........... , a + (n-1)d
where a is the first term and d , the common difference.
the nth term is given by a + (n-1)d
here a = 1 and d = 9-1 = 17-9 = ,,,,,, = 8
nth term = 1 + 8(n-1) = 1+8n - 8 = 8n - 7