General
General
Easy

Question

John creates an increasing pattern with triangles. He records the number of triangles in each shape in a table of values. He also records the number of triangles he adds each time he makes a new shape.

  1. 10    
  2. 12    
  3. 15    
  4. 14    

hintHint:

We are given a sequence made using different number of triangles by John. There are four shapes with increasing number of triangles. We are also given a table with number of triangles. Using this information, we have to find the number of triangles fourth shape will have.

The correct answer is: 12


    The number of shape and number of triangles used to make the shape are as follows:
    First shape has 3 triangles.
    Second shape has 6 triangles.
    Third shape has 9 triangles.
    If we see, the number of triangles used is increasing by 3. With every shape, the number is increasing by 3.
    So, fourth shape will have (9 + 3) = 12 triangles.
    The fourth shape will have 12 triangles.

    While solving such questions, we should be careful and the sequence.

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