Follow the growing pattern and draw the next image in each sequence.

To solve the problem, we need to identify the pattern in each sequence and then draw the next image based on that pattern. Let's analyze each part step by step.

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Part (a): Circles

The sequence is:
1. One circle.
2. Two circles.
3. Three circles.
4. Four circles.

Pattern: The number of circles increases by 1 in each step.

Next Image: Five circles.

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Part (b): Triangles

The sequence is:
1. One triangle.
2. A triangle made up of 3 smaller triangles.
3. A triangle made up of 6 smaller triangles.

Pattern: Each step forms a larger triangle where the number of smaller triangles increases. Specifically:
- Step 1: 1 triangle.
- Step 2: 3 triangles.
- Step 3: 6 triangles.

The number of triangles follows the triangular number sequence: \(1, 3, 6, 10, \ldots\).

Next Image: A triangle made up of 10 smaller triangles.

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Part (c): Crosses

The sequence is:
1. One cross.
2. A 2x2 grid of crosses.
3. A 3x3 grid of crosses.

Pattern: The size of the grid increases by 1 in each step:
- Step 1: 1x1 grid.
- Step 2: 2x2 grid.
- Step 3: 3x3 grid.

Next Image: A 4x4 grid of crosses.

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Part (d): Squares

The sequence is:
1. One square.
2. A structure with one square on top of another.
3. A structure with two squares on top of three squares.

Pattern: The number of squares in each layer increases by 1 as we move downward:
- Step 1: 1 square.
- Step 2: 1 + 1 = 2 squares.
- Step 3: 1 + 2 + 1 = 4 squares.

The next structure will have an additional layer with one more square than the previous bottom layer:
- Step 4: 1 + 2 + 3 = 6 squares.

Next Image: A structure with three squares on top of four squares.

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Final Answers:

1. Part (a): Five circles.
2. Part (b): A triangle made up of 10 smaller triangles.
3. Part (c): A 4x4 grid of crosses.
4. Part (d): A structure with three squares on top of four squares.

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Boxed Final Answer:

\[
\boxed{
\text{(a) Five circles, (b) Triangle with 10 smaller triangles, (c) 4x4 grid of crosses, (d) Structure with three squares on top of four squares.}
}
\]