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andrew-mc [135]
2 years ago
10

Which of the following choices is the common difference between the terms of this arithmetic sequence?

Mathematics
1 answer:
Taya2010 [7]2 years ago
8 0
D = 5x - 3y <=ANSWER 

<span>8x + 4y - (3x + 7y) = 5x - 3y </span>
<span>13x + y - (8x + 4y) = 5x - 3y </span>
<span>18x - 2y - (13x + y) = 5x - 3y </span>
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Reuben learned in art class that a mosaic is made by arranging small pieces of colored material such as glass or tile to create
anastassius [24]

Pattern is the rule that guides the formation of a set.

  • <em>The sequence of the first five mosaics is 5, 8, 11, 14, 17</em>
  • <em>The sequence is arithmetic</em>
  • <em>There are 32 tiles in the tenth mosaic.</em>

From the given design, the number of tiles used is:

T_1 = 5

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T_3 = 11

<u />

<u>(a) The first five</u>

Notice that the difference in the number of tiles of successive mosaic is 3.

This means that:

T_4 = T_3 + 3 = 11 +3 = 14

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So, the sequence of the first five mosaics is 5, 8, 11, 14, 17

<u>(b) The type of sequence</u>

The sequence is arithmetic

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This difference is called the common difference

<u>(c) The number of tiles in the tenth mosaic</u>

The nth term of an arithmetic sequence is:

T_n = T_1 + (n - 1) \times d

In this case:

T_1 = 5

d =3

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So, we have:

T_{10} = 5 + (10 - 1) \times 3

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There are 32 tiles in the tenth mosaic.

Read more about arithmetic sequence at:

brainly.com/question/18109692

5 0
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