2 years ago

Find the common diffirence in the arithmetic sequence 1, 6/4, 10/4, 3...

Mathematics

1 answer:

Temka [501]2 years ago

8 0

Answer:

See explanation

Step-by-step explanation:

6/4 = 1.5

10/4 = 2.5

Therefore the sequence is 1, 1.5, 2.5, 3

So the common difference is either 0.5 or 1

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Valentin [98]

Step-by-step explanation:

$3 + \frac{9}{4} = \frac{9}{x+4} \\ \\ \therefore \: \frac{3 \times 4 + 9}{4} = \frac{9}{x+4} \\ \\ \therefore \: \frac{12 + 9}{4} = \frac{9}{x+4} \\ \\ \therefore \: \frac{21}{4} = \frac{9}{x+4} \\ \\ \therefore \:21(x + 4) = 36 \\ \\ \therefore \:21x + 84 = 36\\ \\ \therefore \:21x = 36 - 84\\ \\ \therefore \:21x = - 48\\ \\ \therefore \:x = \frac{-48}{21} \\ \\ \therefore \:x = \frac{-16}{7} \\ \\ \huge \red{ \boxed{ \therefore \:x = - 2 \frac{2}{7} }}\\ \\$