Find the 6th Term 2 , 5 , 8 , 11 , 14

This is an arithmetic sequence since there is a common difference between each term. In this case, adding ${\displaystyle 3}$ to the previous term in the sequence gives the next term. In other words, ${\displaystyle a_n=a_1+d(n-1)}$.

Arithmetic Sequence: ${\displaystyle d=3}$

This is the formula of an arithmetic sequence.

Substitute in the values of ${\displaystyle a_1=2}$ and ${\displaystyle d=3}$.

Subtract ${\displaystyle 3}$ from ${\displaystyle 2}$.

Substitute in the value of ${\displaystyle n}$ to find the ${\displaystyle n}$th term.

Multiply ${\displaystyle 3}$ by ${\displaystyle 6}$.