Q49. - Algebra 2

Question

Refer to the first three arrays of numbers below.

Make drawings to find the next three numbers in this pattern.

Step-by-Step Solution

Answer

The next three figures in the pattern are:

Step 1. Given Information.

Given pattern is:

Step 2. Calculation .

From the pattern it is seen that the first figure is just a point.

The second pattern is a polygon with 5 points.

The third pattern is 2 polygons with a common point i.e. $5\times 2-1=10-1=9$  points.

 

So, the next pattern is 3 polygons with a common point, then 4 polygons with a common point and then 5 polygons with a common point.

Step 3. Conclusion .

Hence, the next three figures in the pattern are: