This option is correct because the sum of the first n natural numbers is given by n(n+1)/2. For n = 10, we have 10 × 11 / 2 = 110 / 2 = 55. Therefore, the sum of the numbers from 1 to 10 is 55.
Option A:
The value 45 would be the sum only if n were 9, since 9 × 10 / 2 = 45. However, we are summing up to 10, so 45 is too small. Hence, this option is wrong.
Option B:
A sum of 50 would correspond to a different sequence or set of terms. It does not match the formula result for the first 10 natural numbers. Therefore, it is not correct.
Option C:
A total of 60 would exceed the correct sum. The formula and direct addition both show that 55 is the actual sum, so 60 is too large. Thus, this option is incorrect.
Option D:
The value 55 satisfies both the formula and direct addition 1 + 2 + ... + 10. This consistency confirms that 55 is the correct sum for the first 10 natural numbers.
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