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Flura [38]
3 years ago
12

NEED HELP ASAP

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
5 0
Photo math works and the answer would be on that app!!
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Step-by-step explanation:

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Joshua uses a rule to write the following sequence of numbers 1/6,1/2,5/6,----------,11/2 What rule did Joshua use? What is the
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Answer: The missing number in the sequence is \frac{7}{6}

Step-by-step explanation:

Since we have given that

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First term = a= \frac{1}{6}

Common difference = d is given by

d=a_2-a_1\\\\\frac{1}{2}-\frac{1}{6}\\\\=\frac{6-2}{12}\\\\=\frac{4}{12}=\frac{1}{3}\\\\Similarly,\\d=a_3-a_2\\\\=\frac{5}{6}-\frac{1}{2}\\\\=\frac{10-6}{12}\\\\=\frac{4}{12}\\\\=\frac{1}{3}

Therefore, it forms an arithmetic sequence.

Since, a_4 is missing,

So,

a_4=a+3d\\\\a_4=\frac{1}{6}+3\times \frac{1}{3}\\\\a_4=\frac{1}{6}+1\\\\a_4=\frac{1+6}{6}\\\\a_4=\frac{7}{6}

Hence, the missing number in the sequence is \frac{7}{6}

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3 years ago
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If each number is rounded to the nearest whole number, which statement is true?
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A = B
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