astultz309459
astultz309459 astultz309459
  • 18-12-2018
  • Mathematics
contestada

What is the sum of the first 75 even numbers starting with 2? Enter your answer in the box.

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Nainaigurl1
Nainaigurl1 Nainaigurl1
  • 18-12-2018

Answer:

5700

Step-by-step explanation:

step 1 Address the formula, input parameters & values.

Input parameters & values:

The number series 2, 4, 6, 8, 10, 12, .  .  .  .  , 150.

The first term a = 2

The common difference d = 2

Total number of terms n = 75

step 2 apply the input parameter values in the AP formula

Sum = n/2 x (a + Tn)

= 75/2 x (2 + 150)

= (75 x 152)/ 2

= 11400/2

2 + 4 + 6 + 8 + 10 + 12 + .  .  .  .   + 150 = 5700

Therefore, 5700 is the sum of first 75 even numbers.

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