Question

Find the sum of first 37 odd numbers? using shortcut trick​

Answer 1

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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