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White raven [17]
1 year ago
11

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Mathematics
2 answers:
garik1379 [7]1 year ago
5 0

The pattern is

  • 1+1
  • 4+2
  • 9+3

More simply

  • 1²+1
  • 2²+2
  • 3²+3

So for an integer n

  • y=n²+n

#b

n² is pair of boxes at top side

n is boxes underneath

Sphinxa [80]1 year ago
4 0

Answer:

<h3><u>Part (a)</u></h3>

From inspection of the diagram, the pattern is:

Step 1:      1² + 1

Step 2:    2² + 2

Step 3:    3² + 3

Let x = step number

Let y = total number of squares

Therefore, the equation that represents the relationship is:  

y = x² + x

<h3><u>Part (b)</u></h3>

<u />

x² relates to the large square made up of small squares (top part of the image of each step)

x relates to the rectangle of small squares (bottom part of the image of each step)

y is the total number of small squares in the image of each step.

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