without adding, find the sum of first 50 odd numbers
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The number series 1, 3, 5, 7, 9, . . . . , 99. Therefore, 2500 is the sum of first 50 odd numbers.
Step-by-step explanation:
step 1: Address the formula, input parameters & values.
Input parameters & values:
The number series 1, 3, 5, 7, 9, . . . . , 99.
The first term a = 1
The common difference d = 2
Total number of terms n = 50
step 2: apply the input parameter values in the AP formula
Sum = n/2 x (a + Tn)
= 50/2 x (1 + 99)
= (50 x 100)/ 2
= 5000/2
1 + 3 + 5 + 7 + 9 + . . . . + 99 = 2500
Therefore, 2500 is the sum of first 50 odd numbers
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