Respuesta :

fieryanswererft

Answer:

1) x² + x

2) Check Below.

Explanation:

  • step 1 = 2 sqaures
  • step 2 = 6 squares
  • step 3 = 12 squares

Hence sequence can be created:

2, 6, 12

Find difference:

2, 6, 12

 4   6

    2

Find Equation:

  • 2a = 2
  • a = 1

Then,

  • 3a + b = 4
  • b = 4 -3(1)
  • b = 1

Then,

  • a + b + c = 2
  • c = 2 - 1 -1
  • c = 0

So Equation:

  • ax² + bx + c  --- main formulae
  • x² + 1x + 0
  • x² + x            [equation]

B)

With Step Increasing, The step number multiplies the step number and plus the step number. That is the number of squares.

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