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Vlada [557]
2 years ago
6

Helppppp please with this one hurry

Mathematics
2 answers:
attashe74 [19]2 years ago
5 0

2 : 6 = 1 : 3

4 : 12 = 1 : 3

6 : 18 = 1 : 3

8 : 24 = 1 : 3


Answer is 1 :3

mash [69]2 years ago
5 0

7:21 and 1:3 because r equals 3g

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Part (a)

Answer: See the attached image below to see the filled out chart.

Note how rational and irrational numbers have nothing in common. This means there is no overlap. So they go in the rectangles. The two sets of numbers join up to form the entire set of real numbers.

Integers are in the set of rational numbers. This is because something like 7 is also 7/1; however 1/7 is not an integer. So not all rational numbers are integers. The larger purple circle is the set of integers.

The smaller blue circle is the set of whole numbers. The set of whole numbers is a subset of integers. Recall the set of whole numbers is {0,1,2,3,...} so we ignore the negative values only focusing on 0 and positive numbers that don't have any fractional values. In contrast, the set of integers is {..., -3, -2, -1, 0, 1, 2, 3, ...} here we do include the negatives.

============================================================

Part (b)

1) Some irrational numbers are integers.

This is false. An irrational number is not rational. The set of integers is contained entirely in the set of rational numbers.

---------------------------------

2) Some whole numbers are not irrational numbers.

This is false. The statement implies that some whole numbers are irrational, but the set of whole numbers is inside the set of rational numbers, which has no overlap with the irrationals. The statement should be "All whole numbers are not irrational numbers".

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3) All rational numbers are whole numbers.

This is false. A rational number like 1/3 is not a whole number.

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4) All integers are whole numbers

This is false. An integer like -44 is not a whole number because the set of whole numbers is {0,1,2,3,...} and we're not including negative values.

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Explanation:

A sequence is a list of numbers.

A <em>geometric</em> sequence is a list of numbers such that the ratio of each number to the one before it is the same. The common ratio can be any non-zero value.

<u>Examples</u>

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___

<u>General Term</u>

Terms of a sequence are numbered starting with 1. We sometimes use the symbol a(n) or an to refer to the n-th term. The general term of a geometric sequence, a(n), can be described by the formula ...

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where a(1) is the first term, and r is the common ratio. The above example sequences have the formulas ...

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You can see that these formulas are exponential in nature.

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<u>Sum of Terms</u>

Another useful formula for geometric sequences is the formula for the sum of n terms.

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When |r| < 1, the sum converges as n approaches infinity. The infinite sum is ...

  S = a(1)/(1-r)

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