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aksik [14]
3 years ago
5

How much smaller is the sum of the first 1000 natural numbers than the sum of the first 1001 natural numbers?

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
5 0

ANSWER

1001

EXPLANATION

The sum of the first n - natural numbers is

S_n=  \frac{n}{2} (2a + d(n - 1))

The sum of the first 1000 terms is

S_{1000}=  \frac{1000}{2} (2(1) + 1(1000 - 1))

S_{1000}=500 (1001)

S_{1000}=500500

The sum of the first 1001 terms is

S_{1001}=  \frac{1001}{2} (2(1) + 1(1001 - 1))

S_{1001}= 1001 \times (501)

= 501501

The difference is

501501 - 500500= 1001

sesenic [268]3 years ago
3 0

Answer:

The answer to this questions is 1001.

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