Respuesta :
Answer:
D. d = 5
Step-by-step explanation:
d = d² - d¹
= 5 - 0
= 5
d = d³ - d⁴
= 10 - 5
= 5
d = dⁿ - dⁿ-¹
The common difference of the given sequence will be 5, i.e. option D.
What is Arithmetic progression?
Arithmetic progression is the sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. The common difference is the value between each successive number in an arithmetic sequence
i.e. Common difference (d) = Successive term - Previous term
We have,
0, 5, 10, 15, 20, . . .
Here,
a₁ = 0
a₂ = 5
a₃ = 10
a₄ = 15
a₅ = 20
Now,
Find the common difference,
i.e.
Common difference (d) = a₂ - a₁ = 5 - 0 = 5,
Now,
Common difference (d) = a₃ - a₂ = 10 - 5 = 5
Now,
Common difference (d) = a₄ - a₃ = 15 - 10 = 5
Now,
Common difference (d) = a₅ - a₄ = 20 - 15 = 5
Now,
The Common difference is same for all i.e. 5.
Hence, we can say that the common difference of the given sequence will be 5, i.e. option D.
To know more about Arithmetic progression click here
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