Question

Find the 24^th term of the sequence:

12, 10, 8, 6, .......

Answer 1

The given sequence is 12, 10, 8, 6, .......

Now, 

10 – 12 = –2

8 – 10 = –2

6 – 8 = –2, etc.

Hence, the given sequence is an A.P. with first term a = 12 and common difference d = –2.

The general term of an A.P. is given by

t_n = a +(n – 1)d

`=>` t₂₄ = 12 + (24 – 1)(–2)

= 12 + 23 × (–2)

= 12 – 46

= –34

So, the 24^th term is –34.