QuestionQuestion

The sum of the first n positive odd integers is given by n²:
1 +3+5+ + (2n-1)=n².
Use this formula to work out the following sum:
35+37+39- + 179.
Enter the value of the sum.

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First, the formula for the sum of the first n odd integers is given to us:
1 + 3 + ... + (2n - 1) = n²
Now, to calculate the sum
35 + 37 + 39 + ... + 179
we can use the following trick. The sum is equal to:
(1 + 3 + ... + 33) + 35 + 37 + ... + 179...
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