Find the general term (n^th term) and 23^rd term of the sequence, 3, 1, -1, -3, ………

The above A.P. has common difference = 1 - 3 = -2 and a = 3.

a_n = a + (n - 1)d

= 3 + (n - 1)(-2)

= 3 - 2n + 2

= 5 - 2n.

a₂₃ = 5 - 2(23) = 5 - 46 = -41.

Hence, a_n = 5 - 2n and a₂₃ = -41.