To determine the sum of the series of the first (n) natural numbers ((1 + 2 + 3 + \dots + n)), we use the arithmetic series sum formula:

Key Formula

The sum (S) of the first (n) natural numbers is:
[S = \frac{n(n+1)}{2}]

Example (if the series is (1+2+\dots+100))

For (n=100):
[S = \frac{100 \times 101}{2} = 5050]

Answer: If the series is up to (n), the sum is (\frac{n(n+1)}{2}). For (n=100), it’s (\boxed{5050}).

(Note: Adjust the value of (n) based on the actual series in the image; 5050 is a common case.)

(\boxed{5050}) (assuming the series is 1 to 100)

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