The answer for the first sequence will be d = 0.1, [tex]a_n=a_{n-1}+0.1[/tex] and a₁ = 4
The answer for the second sequence will be d = -3 [tex]a_n=a_{n-1}-3[/tex] and a₁ = --1.
What is an arithmetic sequence?
An arithmetic sequence is a series of numbers in which the difference between the next term to its previous term remains constant for the whole series. This difference is called a common difference.
The solution for the first series will be:-
4,4.1,4.2,4.3,4.4
Common difference d = 4.1-4 = 0.1
[tex]a_n=a_{n-1}+0.1[/tex]
First-term will be a₁ = 4.
The solution for the second series will be:-
-1,-4,-7,-10
Common difference d = -4-(-1)= -3
[tex]a_n=a_{n-1}-3[/tex]
First-term will be a₁ = -1.
Therefore the answer for the first sequence will be d = 0.1, [tex]a_n=a_{n-1}+0.1[/tex] and a₁ = 4 and the answer for the second sequence will be d = -3 [tex]a_n=a_{n-1}-3[/tex] and a₁ = --1.
To know more about arithmetic series follow
https://brainly.com/question/6561461
#SPJ1
