This graphics program should draw a caterpillar. A caterpillar has NUM_CIRCLES circles. Use a for loop to draw the caterpillar, centered vertically in the screen. Every other circle is a different color. When i is even, the circle should be red. When i is odd, the circle should be green. Remember that 0 is an even number. Be sure that the caterpillar is still drawn across the whole canvas even if the value of NUM_CIRCLES is changed. (PYTHON, CODEHS 4.6.6 Caterpillar.)

The value of sin(x) (in radians) can be approximated by the alternating infinite series create a function (prob3_2) that takes inputs of a scalar angle measure (in radians) and the number of approximation terms, n, and estimates sin(x). do not use the sin function in your solution. you may use the factorial function. though this can be done without a loop (more efficiently), your program must use (at least) one. you may find the mod() function useful in solving the problem.