An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant.
The sum of the members of a finite arithmetic progression is called an arithmetic series.
The sum S of the first n values of a finite sequence is given by the formula:
Sn=(n/2)*[2*a1+(n-1)*d]
In this case:
n=1000
a1=1
d=2
Sn=(1000/2)*[2*1+(1000-1)*2]
Sn=500*[2+999*2]
Sn=500*[2+1998]
Sn=500*2000
Sn=1,000,000
What is the valuve of the sum of
1+3+5+7+9+11 ...+ 1997 +1999 ?
2 answers
In this case:
1 is first term
3 is second term
5 is third term
7 is fourth term
etc
1999 is thousandth term
because that in your progression
n=1000
1 is first term
3 is second term
5 is third term
7 is fourth term
etc
1999 is thousandth term
because that in your progression
n=1000