2 years ago

ANSWER ME PLZ THANKS

Mathematics

1 answer:

nignag [31]2 years ago

6 0

Answer:

Step-by-step explanation:

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Which expression is equivalent to 60 Σ n=1 (2n − 1)2 ? Check all that apply.

Hunter-Best [27]

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Answer:

B, D

Step-by-step explanation:

The quadratic expands to ...

(2n -1)² = (2n)² +2(2n)(-1) +(-1)² = 4n² -4n +1

The coefficients can be factored out of the sum, so ...

∑(4n²) = 4∑n² for example

The sum of 60 ones is 60:

$\displaystyle\sum_{n=1}^{60}{1}=1+1+1+\dots+1=60$

So, the sum can be written as ...

$\displaystyle\sum_{n=1}^{60}{(2n-1)^2}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+\sum_{n=1}^{60}{1}}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+60}$

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2 years ago

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Natasha_Volkova [10]

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2 years ago

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Feliz [49]

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Step-by-step explanation:

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Step-by-step explanation:

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