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.
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)
- 10
- 12
- 15
- 14
Hint:
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.