What is the sum of odd numbers from 1 to 4004? Here we will show you step-by-step how to calculate the sum of odd numbers from 1 to 4004.
Step 1) We start by finding the first (F) and last (L) odd numbers from 1 to 4004. It is easy to do that by simply looking at the numbers. The first odd number is 1, and the last odd number is 4003.
F = 1
L = 4003
Step 2) Next, we calculate the total odd numbers (T) there are from 1 to 4004, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (4003 - 1 + 2) ÷ 2
T = 4004 ÷ 2
T = 2002
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 1 to 4004, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (2002 ÷ 2) × (2 × 1 + (2 × (2002 - 1))
Sum = 1001 × (2 + 4002)
Sum = 1001 × 4004
Sum = 4008004
Sum of odd numbers from 1 to 4004 = 4008004
Sum of Odd Numbers Calculator
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