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ASHA 777 [7]
3 years ago
11

A type of cell reproduces by splitting itself in half. One cell becomes 2 cells, 2 cells become 4 cells, and 4 cells become 8 ce

lls. What type of sequence does the number of cells represent, and why? It represents an arithmetic sequence because it has a common difference of 2. It represents an arithmetic sequence because it has a common difference of 1/2. It represents a geometric sequence because it has a common ratio of 1/2. It represents a geometric sequence because it has a common ratio of 2.
Mathematics
1 answer:
svet-max [94.6K]3 years ago
4 0

It represents a geometric sequence because it has a common ratio of 2.

In fact, a sequence is said to be geometric if any two adjacent elements are in the same ratio. In other words, if you choose any index n \in \mathbb{N} and consider the two consecutive terms a_n and a_{n+1}, you have

\dfrac{a_{n+1}}{a_n} = r

no matter which index you chose. In your case, the next term in the sequence is always the double of the previous one, so the ratio between two consecutive terms is always 2, and the series is geometric with common ratio 2

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2 divided by 3460 explanation please
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1/1730                Divide numerator and denominator by 2.

This equals . . .

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(I just plugged 1/1730 into calculator)

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3 years ago
Simplify the expression -3 ÷ (-2/5 ​
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Step-by-step explanation:

To solve this expression, we can use PEMDAS or order of operations.

<u>Parenthesis</u>

<u>Exponents</u>

<u>Multiplication>Division (Depends on which comes first from left to right)</u>

<u>Addition>Subtraction (See Multiplication>Division)</u>

So First, lets solve the <u>Parenthesis</u>. -2/5=-.4

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There is no exponents or multiplication, so lets just <u>Divide</u>.

-3/-.4=7.5

The solution is 7.5

Hope this helps!

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3 years ago
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If you simplify the equation, you get:

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group together x's and constants:

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To make this 0 for all x, we have to find an a such that 3a-15 = 0 and b such that -8-4b = 0. this leads to a=5, b=-2

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