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victoria6929
21.07.2019 •
Mathematics
What is the sum of the first 51 consecutive odd positive integers?
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Ответ:
Where:
and so on.
In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:
3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.
Then, the common difference is 2, thus:
Then:
So, we need to find the sum of the members of the finite series, which is called arithmetic series:
There is a formula for arithmetic series, namely:
Therefore, we need to find:
Given that
Thus:
Lastly:
Ответ:
9+10 =21!
Step-by-step explanation: