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jarptica [38.1K]
3 years ago
13

Three more than the product of 3 and a number is less than 18

Mathematics
1 answer:
aleksklad [387]3 years ago
7 0

Answer:

x < 5

Step-by-step explanation:

Mark the number as x

Then 3x + 3 < 18

// divide both sides by 3

x + 1 < 6

x < 6 - 1

x < 5

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What is the common ratio and explicit formula for -2,6,-18,54?
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Answer:

The explicit formula for a given geometric sequence is of the form

a_{4} =\frac{1}{(a_{1})^4}

Step-by-step explanation:

Given sequence is {\{-2,6,-18,54}\}

Let a_{1}=-2,a_{2}=6,a_{3}=-18,a_{4}=54

To find the common ratio r:

r=\frac{a_{2}}{a_{1}}

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Therefore r=-3

r=\frac{a_{3}}{a_{2}}

=\frac{-18}{6}

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Therefore r=-3

Therefore common ratio is -3

Therefore given sequence is geometric sequence.

The explicit formula for a geometric sequence is a_{n}=a_{1}^{r-1}, where common ratio is r.

From given sequence we are having  r=-3

Therefore the explicit formula for a given geometric sequence is of the form a_{4} =a_{1}^{-3-1}

a_{4} =a_{1}^{-4}

a_{4} =\frac{1}{(a_{1})^4}

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Step-by-step explanation:

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