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I
Reynaldo has a square fish pond in his back yard.
The pond is 2 feet on each side. He would like to
border the pond with 3 in. by 3 in. square tiles,
alternating between squares of yellow and green
tiles, as shown.

Respuesta :

mhanifa

Answer:

See below

Step-by-step explanation:

The question in full is attached

The pond is 2 feet = 2*12 inches = 24 inch each side

Each side is 24/3 = 8 tiles long

The first border line (yellow)  has:

  • (8+1)*4 = 36 tiles

The second line (green) has:

  • (9 + 1)*4 = 40 tiles and so on

Each following line has 4 more tiles

a) As AP sequence it looks as:

  • 36, 40, 44, ..

So

  • the first term = 36
  • common difference = 4

b) Considering the alternating colors,

Yellow sequence:

  • 36, 44, 52, ..
  • The first term = 36
  • Common difference = 8

Green sequence:

  • 40, 48, 56 ..
  • The first term = 40
  • Common difference = 8
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