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Allisa [31]
3 years ago
7

Write an equation for the nth term of the arithmetic sequence 12,14,16,18

Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0

\bf 12~~,~~\stackrel{12+2}{14}~~,~~\stackrel{14+2}{16}~~,~~\stackrel{16+2}{18}\qquad \qquad \stackrel{\textit{common difference}}{d = 2} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} a_1=12\\ d = 2 \end{cases} \\\\\\ a_n=12+(n-1)2\implies a_n=12+2n-2\implies a_n=2n+10

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In the diagram,
forsale [732]

Answer:

Probability that the measure of a segment is greater than 3 = 0.6

Step-by-step explanation:

From the given attachment,

AB ≅ BC, AC ≅ CD and AD = 12

Therefore, AC ≅ CD = \frac{1}{2}(\text{AD})

                                  = 6 units

Since AC ≅ CD

AB + BC ≅ CD

2(AB) = 6

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Now we have measurements of the segments as,

AB = BC = 3 units

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4 0
3 years ago
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wel

Answer:

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Step-by-step explanation:

The quotient is given by,

[\frac {4,839}{15}] [where [x] is the greatest integer function on x]

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and the remainder is given by,

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8 0
3 years ago
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