Question

How do you identify `a_3` of this sequence: 0.25, 0.5, 0.75, 1, 1.25, 1.5,?

Answer 1

`a_3=0.75`

Explanation:

`0.25, 0.5, 0.75, 1, 1.25, 1.5,` is arithmetic series,

as the difference between any term and its immediately preceding term is always `0.25`. For this note that

`0.5-0.25=0.75-0.5=1-0.75=1.25-1=1.5-1.25=.............=0.25`

Here the first term is denoted as `a_1`, and its value is `0.25`.

Then follow second term `a_2`, third term `a_3` and so on.

It is obvious `a_3=0.75`.