Answer
The sum of the first 30 odd numbers is $30^2$, or 900.
Work Step by Step
Find the first few terms and look for a pattern
1 term: 1=1
2 terms: 4=1+3
3 terms: 9=1+3+5
4 terms: 16=1+3+5+7
5 terms: 25=1+3+5+9
At each position, the sum is the square of the number of terms.
