# How do you find the first five terms of the arithmetic sequence given a_1=2 and d=13?

Nov 30, 2017

#### Answer:

$2 , 15 , 28 , 41 , 54$

#### Explanation:

$\text{the terms of an arithmetic sequence in general are}$

$a , a + d , a + 2 d , a + 3 d , \ldots . a + \left(n - 1\right) d$

$\text{where a is the first term and d the common difference}$

$\text{each term is generated by adding the common difference}$
$\text{to the previous term}$

${a}_{1} = 2$

${a}_{2} = 2 + 13 = 15$

${a}_{3} = 15 + 13 = 28$

${a}_{4} = 28 + 13 = 41$

${a}_{5} = 41 + 13 = 54$