# How do you write the first five terms of the arithmetic sequence given a_1=-2.6, d=-0.4?

Jul 21, 2017

${a}_{1} = - 2.6$

${a}_{2} = - 3$

${a}_{3} = - 3.4$

${a}_{4} = - 3.8$

${a}_{5} = - 4.2$

#### Explanation:

We know that :

${a}_{n} = {a}_{1} + \left(n - 1\right) d$

So :

${a}_{2} = - 2.6 - 0.4 = - 3$

${a}_{3} = - 2.6 + 2 \cdot \left(- 0.4\right) = - 3.4$

${a}_{4} = - 2.6 + 3 \cdot \left(- 0.4\right) = - 3.8$

${a}_{5} = - 2.6 + 4 \cdot \left(- 0.4\right) = - 4.2$

Jul 21, 2017

$- 2.6 , - 3.0 , - 3.4 , - 3.8 , - 4.2$

#### Explanation:

$\text{to obtain the terms add the common difference d to}$
$\text{each preceding term}$

${a}_{1} = - 2.6$

${a}_{2} = - 2.6 - 0.4 = - 3.0$

${a}_{3} = - 2.2 - 0.4 = - 3.4$

$\text{and so on for remaining terms}$