What is the sum of the sequence:
1+3+5+7+

The sum of the sequence 1+3+5+7+...1001 is 251001.

Step-by-step explanation:

Given sequence  is 1 + 3 + 5 + 7 + ....+ 1001.

Here, and so on upto

Lets find the difference between each term

We see that  the difference between each term of the given sequence is 2 . Thus, it is an Arithmetic sequence.

Since we have to find the sum of the sequence

Sum of sequence of a given Arithmetic sequence is given as :

 .............(1)

But, first find the number of terms,

Put values, we get,

Now put values, , and  

in (1), we get,

Thus, the sum of the sequence 1+3+5+7+...1001 is 251001.