11, 14, 17, ...
Find the 42nd term.

Step-by-step explanation:

5

,

8

,

11

,

14

,

17

This is an arithmetic sequence since there is a common difference between each term. In this case, adding

3

to the previous term in the sequence gives the next term. In other words,

a

n

=

a

1

+

d

(

n

−

1

)

.

Arithmetic Sequence:  

d

=

3

This is the formula of an arithmetic sequence.

a

n

=

a

1

+

d

(

n

−

1

)

Substitute in the values of

a

1

=

5

and

d

=

3

.

a

n

=

5

+

(

3

)

(

n

−

1

)

Simplify each term.

3

step-by-step explanation:

step-by-step explanation: