Question

Find the common difference of the arithmetic sequence 5,14,23

Answer 1

The Solution.

The given sequence is

`5,14,23`

The common difference of the arithmetic sequence is given by the formula below:

`\text{common difference(d)=T}_2-T_1=T_3-T_2`

In this case,

`T_1=5,T_2=14,T_3=23`

Substituting these values in the formula above, we get

`\begin{gathered} \text{common difference = 14-5=23-14}=9 \\ \text{common difference}=9 \end{gathered}`

So,the correct answer is 9.