Find the sum of first 37 odd numbers? using shortcut trick
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Step-by-step explanation:
To find what is the sum of first 37 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, . . . . , 73.
The first term a = 1
The common difference d = 2
Total number of terms n = 37
step 2 apply the input parameter values in the AP formula
Sum = n/2 x (a + Tn)
= 37/2 x (1 + 73)
= (37 x 74)/ 2
= 2738/2
1 + 3 + 5 + 7 + 9 + . . . . + 73 = 1369
Therefore, 1369 is the sum of first 37 odd numbers.
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