Question

Write down in terms of n an expression for the nth term of the following sequence. A) 25,20,15,10,5

Answer 1

(30-5n)

Explanation:

The given sequence is :

25,20,15,10,5

Here,

First term, a = 25

Common difference = 20-25 = -5

We need to find the nth term of the given sequence. The formula for the nth term is given by :

`a_n=a+(n-1)d\\\\a_n=25+(n-1)(-5)\\\\=25-5n+5\\\\=30-5n`

So, the nth term of the above sequence is (30-5n).