# How do you find the next four terms of the arithmetic sequence 1.3, 3.8, 6.3, ...?

Jan 10, 2017

$8.8 , 11.3 , 13.8 , 16.3$

#### Explanation:

The difference between the n-th term and the (n-1)-th is:

$6.3 - 3.8 = 3.8 - 1.3 = 2.5$

Then, you can get the next term by adding 2.5:

${a}_{1} = 1.3$
${a}_{2} = 3.8$
${a}_{3} = 6.3$

$\textcolor{red}{{a}_{4} = 6.3 + 2.5 = 8.8}$

$\textcolor{red}{{a}_{5} = 8.8 + 2.5 = 11.3}$

$\textcolor{red}{{a}_{6} = 11.3 + 2.5 = 13.8}$

$\textcolor{red}{{a}_{7} = 13.8 + 2.5 = 16.3}$