Question

Find the 17th term of the arithmetic sequence whose common difference is d = 3 and whose first term is a 1 =2(The picture is more understandable)

Answer 1

The rule of the nth term of an arithmetic sequence is

`a_n=a_1+(n-1)d`

a1 is the first term

d is the common difference

n is the position of the term

Since the first term is 2, then

a1 = 2

since the common difference is 3, then

d = 3

since we need to find the 17th term, then

n = 17

Substitute them in the rule above

`\begin{gathered} a_(17)=2+(17-1)(3) \\ a_(17)=2+16(3) \\ a_(17)=2+48 \\ a_(17)=50 \end{gathered}`

The answer is 50