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A student generates two patterns.
• Pattern P starts at 8 and follows the rule "multiply by 2, subtract 3" to get the
next term.
• Pattern Q starts at 6 and follows the rule “subtract 2, multiply by 2" to get the
next term.
Which lists show the first five terms of each pattern?
I) Pattern P: 8, 10, 14, 22, 38
Pattern Q: 6, 8, 12, 20, 36
1) Pattern P: 8, 13, 23, 43, 83
Pattern Q: 6, 10, 18, 34, 66
1.) Pattern P: 8, 16,5, 32, 2
Pattern Q: 6, 4, 12, 2, 24
1) Pattern P: 8, 13, 23, 43, 83
Pattern Q: 6, 8, 12, 20, 36

Respuesta :

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Answer:

pattern P: 8,13,23,43,83

pattern Q: 6,10,18,34,66

facundo3141592

The tables that contain the first 5 elements of both patterns are:

  • Pattern P: 8, 13, 23, 43, 83
  • Pattern Q: 6, 8, 12, 20, 36

How to find the first 5 terms of each pattern?

For pattern P we start at 8, and to get the next element we multiply by 2, and then subtract 3.

So the first 5 elements are:

[tex]a_1 = 8\\\\a_2 = 2*8 - 3 = 13\\\\a_3 = 2*13 - 3 = 23\\\\a_4 = 2*23 - 3 = 43\\\\a_5 = 2*43 - 3 = 83[/tex]

For pattern Q we start at 6, and then we subtract 2 and multiply by 2 to get the next element.

[tex]b_1 = 6\\\\b_2 = (6 - 2)*2 = 8\\\\b_3 = (8 - 2)*2 = 12\\\\b_4 = (12 - 2)*2 = 20\\\\b_5 = (20 - 2)*2 = 36\\\\[/tex]

Then the tables that contain the first 5 elements of both patterns are:

  • Pattern P: 8, 13, 23, 43, 83
  • Pattern Q: 6, 8, 12, 20, 36

If you want to learn more about patterns:

https://brainly.com/question/619402

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