The common difference of this arithmetic sequence is equal to 5.
<h3>What is an arithmetic sequence?</h3>
An arithmetic sequence can be defined as a series of real and natural numbers in which each term differs from the preceding term by a constant numerical quantity.
<h3>How to calculate an arithmetic sequence?</h3>
Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:
aₙ = a₁ + (n - 1)d
Where:
- d is the common difference.
- a₁ is the first term of an arithmetic sequence.
- n is the total number of terms.
Common difference = a₂ - a₁ = a₃ - a₂
x - 10 - 10 = 20 - (x - 10)
x - 20 = 20 - x + 10
x - 20 = 30 -x
2x = 50
x = 50/2
x = 25.
d = x - 10 - 10
d = 25 - 20
Common difference, d = 5.
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Answer:
The velocity is 7.0m/s
Explanation:
Given
Required
The bottom of the plane velocity
To do this, we apply the work-energy theorem which states that the energy at the highest point and at the lowest point are equal.
<u>At the highest point</u>
<u>At the lowest point</u>
Equate both values of energy
Take square roots of both sides
The velocity is 7.0m/s
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