Find the 24^th term of the sequence :

12, 10, 8, 6 ……..

Since, 10 - 12 = -2, 8 - 10 = -2 and 6 - 8 = -2.

Hence, the series is an A.P. with common difference = -2.

We know that n^th term of an A.P. is given by,

⇒ a_n = a + (n - 1)d, where a is the first term.

So, 24^th term is,

⇒ a₂₄ = 12 + (24 - 1)(-2) = 12 + 23(-2) = 12 - 46 = -34.

Hence, 24^th term of the sequence = -34.