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Kisachek [45]
3 years ago
7

Determine the 15th term of the arithmetic sequence -9, -6, -3, 0, 3....

Mathematics
1 answer:
Alborosie3 years ago
8 0

Answer:

33

Step-by-step explanation:

-9, -6, -3, 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33. 33 is the answer because it is the 15th number in the pattern. The numbers are going up by 3. I hope this is right and helps!

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A bag contains three red marbles, two green ones, one lavender one, four yellows, and five orange marbles. HINT [See Example 7.
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Answer:

There are 12 sets of four marbles include all the red ones.    

Step-by-step explanation:

Given : A bag contains three red marbles, two green ones, one lavender one, four yellows, and five orange marbles.

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Solution :

Number of red marbles = 3

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We have to form sets of four marbles include all the red ones,

For position of getting red ones we have three red marbles i.e. ^3C_3

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Total sets of four marbles include all the red ones is

=^3C_3\times ^{12}C_1

=1\times 12

=12

Therefore, There are 12 sets of four marbles include all the red ones.

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