Question

List the next four terms in the sequences with the given rule:

A) Start at 0, add three

B) Start at 0, add six

C) what’s the relationship between the two sequences? (HELP FAST)

Answer 1

Explanation:

0,3 .6. 9. 12, 15, 18.....

0,6,12,18,24,,30,36

the terms in the second sequence are double than in the first

B=(2A)

2*3=6

2*6=12....

Answer 2

A)

The next four terms of the sequence are:

3 , 6 , 9 , 12

B)

The next four terms of the sequence are:

6 , 12 , 18 , 24

C)

The relationship between the two sequences are that both are an arithmetic sequence but with different common difference.

The common difference of first sequence is: 3

and the common difference of second sequence is: 6

Explanation:

A)

Start at 0, add three

i.e. the first term is:

`a_1=0`

Now, on adding three we get the second term of the sequence as:

`a_2=3`

The third term will be:

`a_3=3+3\\\\a_3=6`

The fourth term will be:

`a_4=6+3\\\\a_4=9`

The fifth term will be:

`a_5=9+3\\\\a_5=12`

B)

Start at 0, add six

i.e. the first term is:

`a_1=0`

Now, on adding three we get the second term of the sequence as:

`a_2=6`

The third term will be:

`a_3=6+6\\\\a_3=12`

The fourth term will be:

`a_4=12+6\\\\a_4=18`

The fifth term will be:

`a_5=18+6\\\\a_5=24`