What is the sum of odd numbers from 30 to 148? Here we will show you step-by-step how to calculate the sum of odd numbers from 30 to 148.
Step 1) We start by finding the first (F) and last (L) odd numbers from 30 to 148. It is easy to do that by simply looking at the numbers. The first odd number is 31, and the last odd number is 147.
F = 31
L = 147
Step 2) Next, we calculate the total odd numbers (T) there are from 30 to 148, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (147 - 31 + 2) ÷ 2
T = 118 ÷ 2
T = 59
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 30 to 148, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (59 ÷ 2) × (2 × 31 + (2 × (59 - 1))
Sum = 29.5 × (62 + 116)
Sum = 29.5 × 178
Sum = 5251
Sum of odd numbers from 30 to 148 = 5251
Sum of Odd Numbers Calculator
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