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Step 1: Recall the formula for the sum of the first n natural numbers. S_n = (n(n+1))/(2); Step 2: Substitute n = 50 into the formula. S₅₀ = (50(50+1))/(2) Step 3: Simplify inside the parentheses. S₅₀ = (50 × 51)/(2) Step 4: Multiply the numbers in the numerator. S₅₀ = 2550/2 Step 5: Divide by 2. S₅₀ = 1275 1275

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Step 1: Recall the formula for the sum of the first n natural numbers. S_n = (n(n+1))/(2); Step 2: Substitute n = 50 into the formula. S₅₀ = (50(50+1))/(2) Step 3: Simplify inside the parentheses. S₅₀ = (50 × 51)/(2) Step 4: Multiply the numbers in the numerator. S₅₀ = 2550/2 Step 5: Divide by 2. S₅₀ = 1275 1275

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Recall the formula for the sum of the first $n$ natural numbers.
$S_n = \frac{n(n+1)}{2}$
Substitute $n = 50$ into the formula.
$S_{50} = \frac{50(50+1)}{2}$
Simplify inside the parentheses.
$S_{50} = \frac{50 \times 51}{2}$
Multiply the numbers in the numerator.
$S_{50} = \frac{2550}{2}$
Divide by 2.
$S_{50} = 1275$
$\boxed{1275}$

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Step-by-step solution

Recall the formula for the sum of the first $n$ natural numbers.

Substitute $n = 50$ into the formula.

Simplify inside the parentheses.

Multiply the numbers in the numerator.

Divide by 2.

Still stuck on this one?

More Mathematics Questions

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Step-by-step solution

Recall the formula for the sum of the first nnn natural numbers.

Substitute n=50n = 50n=50 into the formula.

Simplify inside the parentheses.

Multiply the numbers in the numerator.

Divide by 2.

Still stuck on this one?

More Mathematics Questions

Recall the formula for the sum of the first $n$ natural numbers.

Substitute $n = 50$ into the formula.