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bezimeni [28]
4 years ago
8

Can someone help me solve this question? It’s similar to the previous ones! Thank you!

Mathematics
1 answer:
luda_lava [24]4 years ago
8 0

Answer:

\boxed{\sf \ \ \ (-2x+-9)(1x+3)=-2x^2-15x-27 \ \ \ }

the coefficient c is -27

Step-by-step explanation:

hello

(-2x+-9)(1x+3)=(-2x-9)(x+3)=-2x(x+3)-9(x+3)=-2x^2-6x-9x-27\\=-2x^2-15x-27

hope this helps

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If d is the common difference between terms in the sequence \{a_n\}, then

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You're told that S_{16}=-288 (the sum of the first 16 terms in the sequence, presumably). Well, we know that

S_{16}=\displaystyle\sum_{n=1}^{16}a_n=\sum_{n=1}^{16}(-21+(n-1)d)
S_{16}=\displaystyle(-21-d)\sum_{n=1}^{16}1+d\sum_{n=1}^{16}n

Recall that

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So we get

\begin{cases}a_1=-21\\\\a_n=-21+\dfrac25(n-1)\end{cases}
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I hope this helped!

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