exclusivegames10 exclusivegames10

21-05-2019
Mathematics

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What is the sum of n natural numbers: 1+2+...+n?

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MathPhys MathPhys

21-05-2019

Answer:

S = 1/2 n (n+1)

Step-by-step explanation:

1 + 2 + 3 + ... + n

Now write in reverse order:

n + n-1 + n-2 + ... + 1

Add together:

n+1 + n+1 + n+1 + ... + n+1

n (n+1)

Since this is double the sum:

S = 1/2 n (n+1)

Answer Link

masterofcars07 masterofcars07

07-05-2021

Answer:

1/2n(n+1)

Step-by-step explanation:

Answer Link

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