SerenidyZ549334 SerenidyZ549334
  • 03-11-2022
  • Mathematics
contestada

Step 1 Step 2 Step 3 Using the figures above, how many small squares will there be in step 4 and step 15? a. Step 4 = b. Step 15 =

Step 1 Step 2 Step 3 Using the figures above how many small squares will there be in step 4 and step 15 a Step 4 b Step 15 class=

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GermanK69833 GermanK69833
  • 03-11-2022

Step 4 = 16 squares

Step 15 = 225 squares

1) In the 1st step we can see, 1 square. In the 2nd, 4, and on the third one 9

So there's a sequence, 1, 4, 9

2) We can write the positions and raise them to the 2nd power we can see how it grows:

position (steps) n | 1 | 2 | 3

# squares | 1 | 4 | 9

3) We can derive a formula for that sequence:

[tex]a_n=n^2[/tex]

Following this rule, we can find that

Step 4 = 4² = 16 squares

Step 15 = 15² = 225 squares

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