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Mathematics
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ScanSolve AI Answer

Step 1: Recall the formula for the sum of the first nn natural numbers.

Sn=n(n+1)2S_n = \frac{n(n+1)}{2}

Step 2: Substitute n=50n = 50 into the formula.

S50=50(50+1)2S_{50} = \frac{50(50+1)}{2}

Step 3: Simplify inside the parentheses.

S50=50×512S_{50} = \frac{50 \times 51}{2}

Step 4: Multiply the numbers in the numerator.

S50=25502S_{50} = \frac{2550}{2}

Step 5: Divide by 2.

S50=1275S_{50} = 1275

1275\boxed{1275}

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