2. Write a recursive formula for the sequence 5, 18, 31, 44, 57, ... Then find the next term.
2 answers:
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Answer and Explanation:
Using trig ratios, we can express the given values of sin u and tan v as shown below
So we can go ahead and label the sides of the triangle as shown below;
We can find the value of u as shown below;
We can find v as shown below;
We know that for each triangle made up by dashed line segment forms 30° angles, so, for example, ∠GOH is 30° and then ∠HOI is 30°
Rotating the shape 240° around the centre is the same as counting in 30°
The triangle GOH will first fit the triangle HOI then triangle IOJ and so on until it has completed 8 times 30° turn. Its final position is shown in the diagram below
Rotating the shape 240° around the centre is the same as counting in 30°
The triangle GOH will first fit the triangle HOI then triangle IOJ and so on until it has completed 8 times 30° turn. Its final position is shown in the diagram below