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Sav [38]
3 years ago
7

Construct a recursive rule to describe the sequence: 2, 4, 6, 8,...

Mathematics
1 answer:
kap26 [50]3 years ago
3 0

Answer:

  a[1] = 2; a[n] = a[n-1] + 2

Step-by-step explanation:

The first term of the sequence is 2, so the first part of the definition is ...

  a[1] = 2

Each term is 2 more than the previous one, so the rest of the definition is ...

  a[n] = a[n-1] + 2

_____

<em>Comment on recursive rules</em>

A recursive rule has two parts. The first part tells what the initial value of the sequence is. The second part relates the next term to the previous term or terms.

For arithmetic and geometric sequences, each term is related to the previous term by a constant. For an arithmetic sequence, each term is the last term plus the common difference. For a geometric sequence, each term is the last term multiplied by the common ratio.

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Initially, there were equal amount of roses and tulips at a store. Each bouquet was made with 3 roses and 4 tulips. After the bo
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Answer:

12 bouquets

Step-by-step explanation:

Let there be x number of roses and x number of tulips initially at the store.  Each bouquet was made with 3 roses and 4 tulips. Assume that y bouquets were made in total.

If each bouquet was made with 3 roses and 4 tulips, then y bouquets will be made with 3y roses and 4y tulips.

After the bouquets were all made, there were 30 roses and 18 tulips left in the store. This means, if we subtract number of roses that were used in bouquets from total number of roses, the result must be 30. Likewise, for tulips the result would be 18. This can be represented as:

x - 3y = 30                               Equation 1

x  - 4y = 18                                Equation 2

Subtracting Equation 2 from Equation 1, we get:

x - 3y - (x - 4y) = 30 - 18

x - 3y - x + 4y = 12

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Answer:

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Step-by-step explanation:

I graphed the function on the graph below.

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Answer:

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