Respuesta :
Answer: The common difference is 0.8 and the next 3 terms are 4.8, 5.6, 6.4.
Explanation:
The given arithmetic sequence is,
[tex]0.8,1.6,2.4,3.2,4,...[/tex]
Since it is a arithmetic sequence, therefore the common difference is,
[tex]d=a_2-a_1=1.6-0.8=0.8[/tex]
The recursive is the process in which the preceding term is used to find the next one.
The recursive formula of arithmetic sequence is,
[tex]A(n)=a+(n-1)d[/tex]
Where, a is first term and d is common difference.
Since, the first term is 0.8 and common difference is 0.8.
[tex]A(n)=0.8+(n-1)0.8[/tex]
We have to find next 3 terms, so we have to add 0.8 in preceding term of the sequence because the common difference is 0.8. The last given term is 4, So, first next term is,
[tex]4+0.8=4.8[/tex]
Now the preceding term is 4.8, so the next term is,
[tex]4.8+0.8=5.6[/tex]
Now the preceding term is 5.6, so the next term is,
[tex]5.6+0.8=6.4[/tex]
Therefore the common difference is 0.8 and the next 3 terms are 4.8, 5.6, 6.4.
