## Why is there a difference between starting with a "0" and "3" for approx

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I was attempting an approximated value of pi through the formula of `pi= 3 + (4/(2*3*4)) - (4/(4*5*6)) + (4/(6*7*8)) - …` (and so on). However, my code (shown below) had 2 separate answers (3.1415926535900383 and 3.141592653590042) when:

1. approx variable started with "0" and "3" respectively
2. n=10000

Does anyone know why?

```def approximate_pi(n):
approx=0
deno=2
if n == 1:
return 3
for x in range(n-1):
if x%2:
approx -= 4/((deno)*(deno+1)*(deno+2))
else:
approx += 4/((deno)*(deno+1)*(deno+2))
deno+=2
return approx+3
```

and

```def approximate_pi(n):
approx=3
deno=2
if n == 1:
return 3
for x in range(n-1):
if x%2:
approx -= 4/((deno)*(deno+1)*(deno+2))
else:
approx += 4/((deno)*(deno+1)*(deno+2))
deno+=2
return approx
```

I think is because you can't have exact float numbers in pc. More info you can get here: Why can't decimal numbers be represented exactly in binary?

What is the difference between the nouns start and beginning , Not much. Both mean pretty much the same thing, but start is felt to be slightly less formal than begin (possibly a result of the extra syllable in  As nouns the difference between start and starting is that start is the beginning of an activity or start can be a tail, or anything projecting like a tail while starting is the act of something that starts. As verbs the difference between start and starting is that start is (label) to begin, commence, initiate while starting is .

It is because of the way float is in python. If you do not have the digit before the decimal it gives 3 extra precision digits(from my trial). This changes the answer because when you start with 0, you get a different calculation altogether.

Beginning vs. Starting: How to Tell the Difference Between the Two, You're not quite as good at starts as you are at beginnings. Starting is a bit harder​. It requires intention, community, courage, and a dose of  Hi there, difference between the three of start, started and starting is of just time. “Start” is an action word and it is used in present tenses,”started” is pazt form of start and it is used in past tenses.

An approximation algorithm approximates. Neither number is the true value of π. Your two versions start at different starting points, so why are you surprised that they give you slightly different approximations? What matters is that the longer you run them, the further they will both converge to the true value.

Note that this is not an artifact of the finite-precision representation of floats. While floating point rounding will affect your results, you would see differences even with unlimited precision arithmetic.

What's the difference between 'beginning' and 'start'?, " is usually the better choice, but both are grammatically correct. E. There are many cases where start is acceptable where start off sounds strange, means something different, or is outright wrong. For example: For example: "Start baking the cookies" means to begin the activity of baking the cookies.

To begin with definition and meaning, It can be a verb talking about opening a can of pineapple or opening a pickle jar. Or it can mean the beginning of something. For example, the  But there’s a difference between beginning and starting. Beginnings happen because of the forces around you. Starting happens because of the longings within you. You start something when you feel a pain, see a need, or stumble upon an opportunity. You start a new habit, business, action, function, process, etc.

Begin Synonyms, Begin Antonyms, You will hear people refer to the start of a term but that is not the same as the beginning of term. The start in this case is of unspecified duration whereas the  There are many more reasons why your engine might be having trouble turning over or starting and the most important step when figuring out why is knowing the difference between the two. Without understanding that difference, you might have a hard time trying to describe what’s wrong with your engine.

The Acceptance Test <will start / will be started>, As nouns the difference between start and starting is that start is the beginning of an activity or start can be a tail, or anything projecting like a tail while starting is. Question: A) Explain Why There Is Little Difference Between The Rf Values For Starting Material(Ethyl Cinnamate) And Product(Ethyl 3-phenylpropanoate) In The TLC Analysis.