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

Mar 14, 2017

${a}_{3} = 0.75$

#### 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

$0.5 - 0.25 = 0.75 - 0.5 = 1 - 0.75 = 1.25 - 1 = 1.5 - 1.25 = \ldots \ldots \ldots \ldots . = 0.25$

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 ${a}_{3} = 0.75$.