Answer:
Step-by-step 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....
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
A)
Start at 0, add three
i.e. the first term is:
[tex]a_1=0[/tex]
Now, on adding three we get the second term of the sequence as:
[tex]a_2=3[/tex]
The third term will be:
[tex]a_3=3+3\\\\a_3=6[/tex]
The fourth term will be:
[tex]a_4=6+3\\\\a_4=9[/tex]
The fifth term will be:
[tex]a_5=9+3\\\\a_5=12[/tex]
B)
Start at 0, add six
i.e. the first term is:
[tex]a_1=0[/tex]
Now, on adding three we get the second term of the sequence as:
[tex]a_2=6[/tex]
The third term will be:
[tex]a_3=6+6\\\\a_3=12[/tex]
The fourth term will be:
[tex]a_4=12+6\\\\a_4=18[/tex]
The fifth term will be:
[tex]a_5=18+6\\\\a_5=24[/tex]
