Question

(2) Find the sum of all even numbers between 1 and 150.
15​

Answer 1

step 1 Address the formula, input parameters & values.

Input parameters & values:

The number series 2, 4, 6, 8, 10, 12, .  .  .  .  , 300.

The first term a = 2

The common difference d = 2

Total number of terms n = 150

step 2 apply the input parameter values in the AP formula

Sum = n/2 x (a + Tn)

= 150/2 x (2 + 300)

= (150 x 302)/ 2

= 45300/2

2 + 4 + 6 + 8 + 10 + 12 + .  .  .  .   + 300 = 22650

Therefore, 22650 is the sum of first 150 even numbers.

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