Question

What is the sum of of each of the following series of numbers? 1+3+5+----+997+999

Answer 1

998,001

Explanation:

Sum (S) of n terms in an arithmetic sequence is given by;

`S_(n)` =
`(n)/(2)`(2a + d(n-1)) , where d is the common difference

`S_(999)` =
`(999)/(2)`(2 + 2(999-1)) = 998,001