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Katyanochek1 [597]
3 years ago
12

What is the sum of the first 30 odd numbers? How to calculate it without having to add all of them.

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
4 0
See that odd number are in a Aritmetic progression with a1 = 1 and r = 2

30th number of sequence is given by:

a_{30}=a_1+29r\\
\\
a_{30}=1+29*2\\
\\
a_{30}=59

Now you can calculate the sun by:

S_{30}=\frac{30(1+59)}{2}=\frac{30*60}{2}=900
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