Find the next three terms of the following arithmetic Sequence 3.1,4.1,5.1,6.1

7.1

,

8.1

,

9.1

Step-by-step explanation:

The terms of an arithmetic sequence are generated by adding the common difference (d) to the previous term.

a

1

,

a

1

+

d

,

a

1

+

2

d

,

a

1

+

3

d

,

...

.

,

a

1

+

(

n

−

1

)

d

where  

d

=

a

2

−

a

1

=

a

3

−

a

2

=

...

.

=

a

n

−

a

n

−

1

here  

d

=

4.1

−

3.1

=

1

Adding 1 to each term gives the next 3 terms in the sequence.

⇒

(

6.1

+

1

)

=

7.1

and so onThe terms of an arithmetic sequence are generated by adding the common difference (d) to the previous term.

a

1

,

a

1

+

d

,

a

1

+

2

d

,

a

1

+

3

d

,

...

.

,

a

1

+

(

n

−

1

)

d

where  

d

=

a

2

−

a

1

=

a

3

−

a

2

=

...

.

=

a

n

−

a

n

−

1

here  

d

=

4.1

−

3.1

=

1

Adding 1 to each term gives the next 3 terms in the sequence.

⇒

(

6.1

+

1

)

=

7.1

and so onThe terms of an arithmetic sequence are generated by adding the common difference (d) to the previous term.

a

1

,

a

1

+

d

,

a

1

+

2

d

,

a

1

+

3

d

,

...

.

,

a

1

+

(

n

−

1

)

d

where  

d

=

a

2

−

a

1

=

a

3

−

a

2

=

...

.

=

a

n

−

a

n

−

1

here  

d

=

4.1

−

3.1

=

1

Adding 1 to each term gives the next 3 terms in the sequence.

⇒

(

6.1

+

1

)

=

7.1

and so onThe terms of an arithmetic sequence are generated by adding the common difference (d) to the previous term.

a

1

,

a

1

+

d

,

a

1

+

2

d

,

a

1

+

3

d

,

...

.

,

a

1

+

(

n

−

1

)

d

where  

d

=

a

2

−

a

1

=

a

3

−

a

2

=

...

.

=

a

n

−

a

n

−

1

here  

d

=

4.1

−

3.1

=

1

Adding 1 to each term gives the next 3 terms in the sequence.

⇒

(

6.1

+

1

)

=

7.1

and so onThe terms of an arithmetic sequence are generated by adding the common difference (d) to the previous term.

a

1

,

a

1

+

d

,

a

1

+

2

d

,

a

1

+

3

d

,

...

.

,

a

1

+

(

n

−

1

)

d

where  

d

=

a

2

−

a

1

=

a

3

−

a

2

=

...

.

=

a

n

−

a

n

−

1

here  

d

=

4.1

−

3.1

=

1

Adding 1 to each term gives the next 3 terms in the sequence.

⇒

(

6.1

+

1

)

=

7.1

and so on

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!