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allsm [11]
3 years ago
13

I need to find this answer fast please help

Mathematics
2 answers:
Black_prince [1.1K]3 years ago
6 0
2 feet per year
Answer #3
Misha Larkins [42]3 years ago
5 0
Answer number 3 I think
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Find n for the sequence for which a1 = 30, d = -4 and sn= -210.
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n\in\mathbb{N^+}

The formula of the sum of an arithmetic sequence:

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We have:

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substitute:

\dfrac{2\cdot30+(n-1)(-4)}{2}\cdot n=-210\ \ \ |\cdot2\\\\(60-4n+4)n=-420\\\\(64-4n)n=-420\\\\64n-4n^2=-420\ \ \ |:(-4)\\\\n^2-16n=105\ \ \ |-105\\\\n^2-16n-105=0\\\\n^2+5n-21n-105=0\\\\n(n+5)-21(n+5)=0\\\\(n+5)(n-21)+0\iff n+5=0\ \vee\ n-21=0\\\\n=-5\notin\mathbb{N^+}\ \vee\ n=21\in\mathbb{N^+}

Answer: b. 21

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4 years ago
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