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Marianna [84]
2 years ago
14

This pattern follows the rule add 2. What is another feature of this pattern?

Mathematics
1 answer:
Murrr4er [49]2 years ago
5 0

Answer:

Option D, All of the terms are odd

Step-by-step explanation:

According to the image description provided:

Term one starts with one dot. One is an odd number.

If you add two to an odd number, the sum would be another odd number. This is what's happening with the pattern.

For example:

3+2=5

Three is an odd number. If you add two to it, you would get five, which is another odd number.

Term two has 3 dots, term three has 5 dots, term four has 7 dots.

So, all terms should be odd.

Option D should be the correct answer.

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The 12th term of a sequence is 41 and the 15th term is 140. What is the nth term?
OLga [1]
An= mth term.
an=a₁+(n-1)*d

a₁₂=41
a₁₅=140

a₁₂=41
41=a₁+(12-1)*d
41=a₁+11d 
a₁+11d=41    (1)

a₁₅=140
140=a₁+(15-1)*d
140=a₁+14d 
a₁+14d=140    (2)

With the equiations (1) and (2)  build a system of equations
a₁+11d=41
a₁+14d=140

we solve it.
-(a₁+11d=41)
  a₁+14d=140
--------------------
       3d=99  ⇒d=99/3=33

a₁+11d=41
a₁+(11*33)=41
a₁+363=41
a₁=41-363=-322

an=a₁+(n-1)*d
an=-322+(n-1)*33
an=-322+33n-33
an=-355+33n

an=-355+33n

To check:
a₁₂=-355+33*12=-355+396=41
a₁₅=-355+33*15=-355+495=140.
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castortr0y [4]

Answer:

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Step-by-step explanation:

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Answer:18 - 10

Step-by-step explanation:

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Events A and B are independent. Find the missing probability.
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P(A)=0.2
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P(A and B)= 0.2 x 0.3=0.06
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