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08-04-2022
Mathematics

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The sum of the squares of the odd integers between 0 and 100.

Using summation notation

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08-04-2022

Answer:

166,649.

Step-by-step explanation:

49

∑ (2n + 1)^2 = 4∑n^2 + 4∑n + 49

0

= (4/6)n(n +1)(2n + 1) + 4/2 n(n + 1) + 49

= 2/3 * 49* 50 *99 + 2*49*50 + 49

= 161700 + 4900 + 49

= 166649

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