2 years ago

Olivia is in a lighthouse on a cliff. She observes two sailboats due east of the

Mathematics

1 answer:

daser333 [38]2 years ago

4 0

Answer:173

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=14r%20-%208r%3D%20126" id="TexFormula1" title="14r - 8r= 126" alt="14r - 8r= 126" align="absmi

LuckyWell [14K]

14r – 8r=126

6r=126

R=21

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2 years ago

Which equation represents a line parallel to the line shown on the graph?

aleksley [76]

Your answer It would be y=2x+4

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3 years ago

Find the greatest common factor of 48 and 36.

tatiyna

Answer:

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Step-by-step explanation:

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3 years ago

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abruzzese [7]

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2 years ago

Read 2 more answers

What is the nth term?

kumpel [21]

Let $a_k$ denote the kth term of the sequence. Then

$a_k=a_1+d(k-1)$

where d is the common difference between consecutive terms in the sequence and a₁ is the first term.

The sum of the first n terms is

$S_n=\displaystyle\sum_{k=1}^na_k=a_1+a_2+\cdots+a_{n-1}+a_n$

From the formula for $a_k$ , we get

$S_n=\displaystyle\sum_{k=1}^n(a_1+d(k-1))=a_1\sum_{k=1}^n1+d\sum_{k=1}^n(k-1)$

$S_n=\displaystyle na_1+d\sum_{k=0}^{n-1}k$

$S_n=na_1+\dfrac{d(n-1)n}2$

$S_n=\dfrac n2(2a_1-d+dn)$

So we have $d=-5$ , and $2a_1-d=16$ so that $a_1=\frac{11}2$ .

Then the nth term in the sequence is

$a_n=\dfrac{11}2-5(n-1)=\boxed{\dfrac{21-10n}2}$

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3 years ago