What is the sum of odd numbers from 50 to 170? Here we will show you step-by-step how to calculate the sum of odd numbers from 50 to 170.
Step 1) We start by finding the first (F) and last (L) odd numbers from 50 to 170. It is easy to do that by simply looking at the numbers. The first odd number is 51, and the last odd number is 169.
F = 51
L = 169
Step 2) Next, we calculate the total odd numbers (T) there are from 50 to 170, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (169 - 51 + 2) ÷ 2
T = 120 ÷ 2
T = 60
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 50 to 170, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (60 ÷ 2) × (2 × 51 + (2 × (60 - 1))
Sum = 30 × (102 + 118)
Sum = 30 × 220
Sum = 6600
Sum of odd numbers from 50 to 170 = 6600
Sum of Odd Numbers Calculator
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