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.

Tap for more steps...

a

n

=

7

+

3

n

−

3

Subtract  

3

from  

7

.

a

n

=

3

n

+

4

Step-by-step explanation:

The given vector is represented by (2,-1).

This can be represented in general form as (x,y) where x=2 and y=-1.

Magnitude of the vector represented as (x,y) is given by

Evaluating for the given values of x and y,

Length of the vector is