Question

The sum of all even numbers from 200 to 300

Answer 1

Step-by-step explanation:

even no 200,202,204,0,206,208,210,212,214,216,218,220,222,224,226,228,230,232,234,236,238,240,242,244,246,248,250,252,254,256,258,260,262,264,266,268,270,272,274,276,278,280,282,284,286,288,290,292,294,296,298,300

Answer 2

Answer:

12750

Step-by-step explanation:

All the even numbers form an Arithmetic Progression with d =2 and a = 200 in this case .

We know the formula for the sum of even numbers of an AP:

Firstly we find out number of even numbers between 200 & 300

$a_{n}=a+(n-1)d$

300 = 200 +(n-1)*2

100=(n-1)*2

50=n-1

n=51

Now putting n over in this equation below:

$S{n} = \frac{n}{2}(a+l)$

$S_{n} = \frac{51}{2}(200+300)\\\\S_{n} = \frac{51}{2}*500\\\\ S_{n} = 51*250\\\\\S_{n} = 12750$

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