Write an arduino sketch that controls a servo using sensing data from a thermistor in your kit. as the hot or cold air moves over the thermistor, the servo should rotate in proportion to the temperature. going from high to cold temperature should move the servo over its entire range of motion. also program the multi-colored led in your kit so that it changes color from extreme red to extreme blue as the temperature changes from hot to cold respectively. for in between temperature values, choose colors that go from warm to cold. the serial monitor window should print the values read from the thermistor, servo position, and the color of led at all instant.

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Create a function (prob3_6) that will do the following: input a positive scalar integer x. if x is odd, multiply it by 3 and add 1. if the given x is even, divide it by 2. repeat this rule on the new value until you get 1, if ever. your program will output how many operations it had to perform to get to 1 and the largest number along the way. for example, start with the number 3: because 3 is odd, we multiply by 3 and add 1 giving us 10. 10 is even so we divide it by 2, giving us 5. 5 is odd so we multiply by 3 and add one, giving us 16. we divide 16 (even) by two giving 8. we divide 8 (even) by two giving 4. we divide 4 (even) by two giving 2. we divide 2 (even) by 2 to give us 1. once we have one, we stop. this example took seven operations to get to one. the largest number we had along the way was 16. every value of n that anyone has ever checked eventually leads to 1, but it is an open mathematical problem (known as the collatz conjectureopens in new tab) whether every value of n eventually leads to 1. your program should include a while loop and an if-statement.