What is the Sum of First 80 Odd Numbers?
getcalc.com's Arithmetic Progression (AP) calculator, formula & workout to find what is the sum of first 80 odd numbers.
6400 is a sum of number series by applying the values of input parameters in the formula.
How to Find the Sum of First 80 Odd Numbers?
The below workout with step by step calculation shows how to find what is the sum of first 80 odd numbers by applying arithmetic progression. It's one of the easiest methods to quickly find the sum of given number series.
step 1 Address the formula, input parameters & values.
Input parameters & values:
The number series 1, 3, 5, 7, 9, . . . . , 159.
The first term a = 1
The common difference d = 2
Total number of terms n = 80
step 2 apply the input parameter values in the AP formula
Sum = n/2 x (a + Tn)
= 80/2 x (1 + 159)
= (80 x 160)/ 2
= 12800/2
1 + 3 + 5 + 7 + 9 + . . . . + 159 = 6400
Therefore, 6400 is the sum of first 80 odd numbers.
