The value of can be approximated with the infinite series as follows:

= 4/1 - 4/3 + 4/5 - 4/7 + 4/9 - 4/11....

Write a program that determines how many terms in takes using the above infinite series to approximate to 3.14159. You can state the answer to this question in the word document you submit, if you obtain the answer through trial and error.

Bonus (5 points): Your program should stop itself when the precision is met and output the following: It took n terms to approximate pi to 3.14159

Hint: Think about a numerator and a denominator. You learned in a previous homework how togenerate odd number sequences. Pay close attention to the sign of each term. Casting: You can eliminate all numbers beyond the 5th decimal position using casting, such as int a = (int)(3.14159265 *100000). Here a float is being multiplied by an integer, with the result being a float.The decimal point has been moved 5 places to the right. Use (int) to "cast" that into an integer, truncating all the decimals of the new number resulting in the new number 314159.

{{{ Please use only C language and NOT C++ or Java }}| You are also allowed to use the following if needed for loops math.h and pow() function formatting float and double numbers switch statements getchar() function ASCII chart dowhile loops break and continue statements Logical AND (&&), logical OR (||), logical NOT (!) operators