# How do you write the first six terms of the sequence a_n=3n+1?

Aug 7, 2016

$4 , 7 , 10 , 13 , 16 , 19$

#### Explanation:

$n$ indicates the number of terms, or a term in a particular position.

$n$ a;ways starts from 1.

So we need to use $n = 1 , n = 2 , n = 3$ etc

${a}_{1} = 3 \left(1\right) + 1 = 4$
${a}_{2} = 3 \left(2\right) + 1 = 7$
${a}_{3} = 3 \left(3\right) + 1 = 10$

But by this term we can see that each term is 3 more than the previous :

$13 , 16 , 19$

For an AP, the coefficient of the $n$ term also indicates $d$.