Answer:
f(n) = 6n + 12
Step-by-step explanation:
There is a common difference in consecutive number of seats, that is
42 - 36 = 36 - 30 = 30 - 24 = 24 - 18 = 6
This indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 18 and d = 6 , then
f(n) = 18 + 6(n - 1) = 18 + 6n - 6 = 6n + 12
Any smooth curve connecting two points is called an arc. The length of the arc m∠QPR is 2.8334π m.
<h3>What is the Length of an Arc?</h3>Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,
where
θ is the angle, that which arc creates at the centre of the circle in degree.
Given the radius of the circle is 3m, while the angle made by the arc at the centre of the circle is 170°. Therefore,
The length of an arc = 2πr×(θ/360°) = 2π × 3 ×(170/360°) = 2.8334π m
Hence, the length of the arc m∠QPR is 2.8334π m.
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