find the 17th term of the arithmetic sequence whose common difference is d=3 and whose first term is a1=1.

Step-by-step explanation:

Given

Sequence: Arithmetic

Required

Determine the 17th term

The nth term of an arithmetic sequence is:

In this case: n = 17

So, we have:

Hence, the 17th term is 49

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2