First 5 terms of a sequence are 7,10,13,16 and 19. Which of the following functions define this sequence for all integers n>1

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

=

7

and

d

=

3

.

a

n

=

7

+

(

3

)

(

n

-

1

)

Simplify each term.

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a

n

=

7

+

3

n

-

3

Subtract

3

from

7

.

a

n

=

3

n

+

4