Question

What is the nth term rule of the linear sequence below? 6 , 13 , 20 , 27 , 34 , . . .

Answer 1

Answer:

41

Step-by-step explanation:

the gap is between 7 numbers

Answer 2

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

7

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

a

n

=

a

1

+

d

(

n

−

1

)

.

Arithmetic Sequence:

d

=

7

This is the formula of an arithmetic sequence.

a

n

=

a

1

+

d

(

n

−

1

)

Substitute in the values of

a

1

=

6

and

d

=

7

.

a

n

=

6

+

(

7

)

(

n

−

1

)

Simplify each term.

Tap for more steps...

a

n

=

6

+

7

n

−

7

Subtract

7

from

6

.

a

n

=

7

n

−

1