why is the answer to the summation notation for the series of numbers {2,4,6,...100} equal 50x51...

Question

Question

why is the answer to the summation notation for the series of numbers {2,4,6,...100} equal 50x51 ?

math Statistics-And-Probability

Answer 1

Answer #1

The sum of first n natural even numbers is given by n*(n+1) where n is total no.

Here, we are given a series of even numbers from 2 to 100, thus there are a total of 50 numbers.

Thus its sum is given by n*(n+1) = 50*51= 2550

Answer 2

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