What is the sum of odd numbers from 62 to 198? Here we will show you step-by-step how to calculate the sum of odd numbers from 62 to 198.
Step 1) We start by finding the first (F) and last (L) odd numbers from 62 to 198. It is easy to do that by simply looking at the numbers. The first odd number is 63, and the last odd number is 197.
F = 63
L = 197
Step 2) Next, we calculate the total odd numbers (T) there are from 62 to 198, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (197 - 63 + 2) ÷ 2
T = 136 ÷ 2
T = 68
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 62 to 198, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (68 ÷ 2) × (2 × 63 + (2 × (68 - 1))
Sum = 34 × (126 + 134)
Sum = 34 × 260
Sum = 8840
Sum of odd numbers from 62 to 198 = 8840
Sum of Odd Numbers Calculator
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