What is the Sum of First 100 Odd Numbers?
getcalc.com's Arithmetic Progression (AP) calculator, formula & workout to find what is the sum of first 100 odd numbers.
10000 is a sum of number series by applying the values of input parameters in the formula.
How to Find the Sum of First 100 Odd Numbers?
The below workout with step by step calculation shows how to find what is the sum of first 100 odd numbers by applying arithmetic progression. It's one of the easiest methods to quickly find the sum of given number series.
step 1 Input Parameters and values:
The number series 1, 3, 5, 7, 9, . . . . , 199.
The first term a = 1
The common difference d = 2
Total number of terms n = 100
step 2 apply the input parameter values in the AP formula
Sum = n/2 x (a + Tn)
= 100/2 x (1 + 199)
= (100 x 200)/ 2
= 20000/2
1 + 3 + 5 + 7 + 9 + . . . . + 199 = 10000
Therefore, 10000 is the sum of first 100 odd numbers.
