Respuesta :

40

Explanation

Step 1

a)initially we have 8 dots

after that

in step 2, we have a new row and , now there are 8 dots per row, so

[tex]\begin{gathered} \text{new row} \\ and\text{ number of dots= previous +1} \end{gathered}[/tex]

in step 3, we should have

[tex]\begin{gathered} new\text{ row, it means now, there are 3 rows} \\ \end{gathered}[/tex]

and

[tex]\begin{gathered} and\text{ number of circles = previous +1} \\ \text{ number of circles =}8+1=9 \\ \text{ number of circles =}9 \end{gathered}[/tex]

as we can see, the rule works

Step 2

now, to find the patter in step 4, just apply

[tex]a\text{ new rounds, now, there are 4 row}[/tex]

and

[tex]\begin{gathered} and\text{ number of dots = previous +1} \\ \text{ number of dots = 9}+1=10 \\ \text{ number of dots=}10 \end{gathered}[/tex]

finally, to know the number of dots

Multiply the number of row, by the number of dots per row, so

[tex]\begin{gathered} \text{Number of dots=4}\cdot10 \\ \text{Number of dots=}40 \end{gathered}[/tex]

therefore, the answer is 40

I hope this helps you

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