Question

WHAT IS THE SUM OF ALL EVEN INTERGERS BETWEEN 99 AND 301

Answer 1

Even numbers between 99 and 301 are
100,102................,300.
This an arithmetic progression with first term 100, common difference 2 and the last term 300.
Using
\(a_n=a+(n-1)d\)
\(300=100+(n-1)2\)n can be found.
To find the sum use the formula\[S_n=\frac{ n }{2}(a+l)\]
a-first term
l-last term.