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3 years ago

What is the next number in the sequence 9....3....1....1/3?

Mathematics

2 answers:

Fynjy0 [20]3 years ago

8 0

Answer:

The next number in the sequence is 1/9

Step-by-step explanation:

The sequence you present is a geometric sequence. Geometric sequences are sequences in which successive terms are increases/decreases of an initial number by a common constant factor and are defined as

An= A0*r^(n-1)

The nth term of the sequence is the first term A1 multiplied by a common factor r.

In your problem A1 is 9. The common factor between terms is 1/3 because

9* (1/3) = 9/3= 3

3* (1/3) = 9/3= 1

1* (1/3) = 1/3= 1/3

So the fifth term n= 5 is

An= A0*r^(n-1)

A5=9*(1/3)^(5-1) =9*(1/3)^(4) =9*(1/81)=9/81= 1/9

The answer is 1/9

VladimirAG [237]3 years ago

7 0

9 divided by 3 = 3 3divided by 3 = 1 1 divided by 3 = 1/3 so 1/3 divided by 3=1/9

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Sergio [31]

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2 years ago

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<h2>Hello!</h2>

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3 years ago

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monitta

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2 years ago

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Lostsunrise [7]

Answer:

For larger measurements, we use larger unit while for smaller measurement we use smaller unit.

Step-by-step explanation:

Normally, For larger distances we make use of larger units while for smaller distances we make use of smaller units.

For example, if we consider the distance travelled by a person in some days;

For 15000 units distance; We can represent this value as 15 Kilometers

For 800 units distance; Rather than using kilometers, it would be better to represent it in meters as 8 meters.

Also, For 70 units distance; Instead of kilometers or meters, 70 cm would be a better unit of representation.

Likewise, If we consider some 3 dimensional shapes holding some substances,

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For 50 units, best unit of weight representation would be 50 grams

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3 years ago