Respuesta :
Hello,
It would be A since each time it is being subtracted by 3.
Hope this helps!
May
It would be A since each time it is being subtracted by 3.
Hope this helps!
May
4, 1, −2, −5, … is an arithmetic sequence which is correct option (A).
What is arithmetic sequence?
A arithmetic sequence is defined as an arrangement of numbers which is particular order.
The formula to find the general term of an arithmetic sequence is,
aₙ = a₁ + (n-1)d
In an arithmetic sequence d represent the common difference.
Where aₙ is nth term of sequence and a₁ is first term
A. 4, 1, −2, −5, …
Here a₁ = 4 , a₂ = 1 , a₃ = - 2 a₄ = - 5
The common difference (d₁) = a₂ - a₁ = 1 - 4 = -3
The common difference (d₂) = a₄ - a₃ = - 5 - (-2) = -3
Since d₁ = d₂
So, this is an arithmetic sequence.
B. 2, −2, 2, −2, …
Here a₁ = 2 , a₂ = -2 , a₃ = 2 a₄ = - 2
The common difference (d₁) = a₂ - a₁ = - 2 - 2 = - 4
The common difference (d₂) = a₄ - a₃ = - 2 - 2 = - 4
C. 4, 1, 4, 7, …
Here a₁ = 4 , a₂ = 1 , a₃ = 4 a₄ = 7
The common difference (d₁) = a₂ - a₁ = 1 - 4 = -3
The common difference (d₂) = a₄ - a₃ = 7 - 4 = 3
D. 3, 9, 81, 6561, …
Here a₁ = 3 , a₂ = 9 , a₃ = 81 a₄ = 6561
The common difference (d₁) = a₂ - a₁ = 9 - 3 = 6
The common difference (d₂) = a₄ - a₃ = 6561 - 81 = 6480
Hence, 4, 1, −2, −5, … is an arithmetic sequence.
Learn more about arithmetic sequence here:
brainly.com/question/21961097
#SPJ5
