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A graphic designer wants to know the number of regions that are formed when the circles overlap in a particular way. Can she find a rule that describes how the number of regions increases when another circle is added to the design? How many regions would a design with six circles create?

The numbers are
1, 3, 7, 13, 21

A graphic designer wants to know the number of regions that are formed when the circles overlap in a particular way Can she find a rule that describes how the n class=

Respuesta :

ayfat23

The regions that a design with six circles will create is 31.

How can this be calculated?

1 circle = 1 region.

2 circles = 3 regions then there is an  increase  by 2, (3-1)

3 circles = 7 regions with an increase  of (7 - 30) = 4.

4 circles =13 regions with an  increase  of (13 - 7 )= 6.

5 circles =21 regions with an  increase was of (21 - 13) = 8.

Then the increase of (2,4,6,8) then the next number will be 10 which are all consecutive multiples of 2,

Hence, with 6 circles, we will have  (21 + 10) = 31 regions.

Read more on the  circle here:

https://brainly.com/question/18188268

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