Project Euler problems 1 and 2 in python

What do you think about my code? I am a beginner and just started doing some algorithmic exercises to sharpen up my python skills.

Here is code for problem #1:

"""If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9.
The sum of these multiples is 23.

Find the sum of all the multiples of 3 or 5 below 1000."""

x = 0

for i in range(1000):
    if i % 3 == 0 or i % 5 == 0:
        x += i

print(x)

Problem 2:

"""Each new term in the Fibonacci sequence is generated by adding the previous two terms.
By starting with 1 and 2, the first 10 terms will be:

1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...

By considering the terms in the Fibonacci sequence whose values do not exceed four million,
find the sum of the even-valued terms."""

numbers = [1, 2]
total = 0

for i in range(4000000):
    if i == numbers[-1] + numbers[-2]:
        numbers.append(i)

for n in numbers:
    if n % 2 == 0:
        total += n

print(total)

I'm sure there are better ways to solve those problems but would like to see what you think about my quite simple idea.

Problem 1 is probably better and more pythonic when written as a list comprehension:

x = sum(i for i in range(1000) if i % 3 == 0 or i % 5 == 0)
print(x)

For the second problem I would recommend a generator and to use sum again:

def fibonacci(max_n):
    n, prev = 1, 1
    while n <= max_n:
        yield n
        n, prev = n + prev, n

total = sum(n for n in fibonacci(4000000) if n % 2 == 0)
print(total)

This way only two ints are ever in memory (well three if you count max_n). In comparison, your code has a list of possibly large size.

StackExchange Code Review Q#149143, answer score: 6