What is the sum of odd numbers from 10 to 94? Here we will show you step-by-step how to calculate the sum of odd numbers from 10 to 94.
Step 1) We start by finding the first (F) and last (L) odd numbers from 10 to 94. It is easy to do that by simply looking at the numbers. The first odd number is 11, and the last odd number is 93.
F = 11
L = 93
Step 2) Next, we calculate the total odd numbers (T) there are from 10 to 94, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (93 - 11 + 2) ÷ 2
T = 84 ÷ 2
T = 42
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 10 to 94, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (42 ÷ 2) × (2 × 11 + (2 × (42 - 1))
Sum = 21 × (22 + 82)
Sum = 21 × 104
Sum = 2184
Sum of odd numbers from 10 to 94 = 2184
Sum of Odd Numbers Calculator
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