Question

What is the nth term of the
sequence 1, 5, 9, 13, 17, ...?
(1) 2n-1
(2) 2n + 1
(3) 4n - 3
(4) None of these

Answer 1

$a_{n} =a + ( n - 1)d \\ here \: a = 1 \: and \: d = 4 \\ a_{n} = 1 + (n - 1)4 \\ = 1 + 4n - 4 \\ = 4n - 3 \: \\ so \: option \: (3)4n - 3 \: is \: correct \:$