Question

What is the sum of all even integers between 99 & 301?

Answer 1

sum the arithmetic series with a1 = 100, d = 2, last term = 300

Answer 2

100,102..........,300
This is an arithmetic progression.
\(T_n=a_1+(n-1)d\)
\(300=100+(n-1)2\)
\(300-100=2n-2\)
\(200=2n-2\)
Solve for n.
\[S_n=n\frac{ a+l }{ 2 }\]
a=100
l=300
Using this find the sum.

Answer 3

n = (301 - 99 ) / 2

Answer 4

my ans is 20200 ,,,is it correct

Answer 5

ya u right:)