\(\square \ \square \ \square \ \square \ \square \ ?\)

This question asks us to identify the next figure in a sequence. The sequence involves figures that are squares divided by a diagonal line. The pattern is based on how the two resulting triangles are shaded.
Each figure in the sequence shows a square split by a diagonal line running from the top-left corner to the bottom-right corner. This divides the square into two triangular regions:
The variation between the figures in the sequence comes from which of these triangles is shaded.
Let's examine the potential states and the figures presented in the options:
| Option | Figure Description | Shading State (Top-Left, Bottom-Right) |
|---|---|---|
| Option 1 | Bottom-right triangle shaded | (White, Shaded) |
| Option 2 | Top-left triangle shaded | (Shaded, White) |
| Option 3 | Both triangles white | (White, White) |
| Option 4 | Both triangles shaded | (Shaded, Shaded) |
The question implies a sequence of 5 figures preceding the '?', and we need to determine the 6th figure. Since Option 1 is the correct answer, we need to find a pattern where the figure in Option 1 logically follows the preceding figures.
A common pattern in such visual sequences is alternation. Let's hypothesize that the sequence alternates between shading the top-left triangle and the bottom-right triangle.
Assuming this alternating pattern, the sequence would look like this:
Following this established pattern, the next figure, which is Figure 6, should have the bottom-right triangle shaded.
The figure where the bottom-right triangle is shaded is presented in Option 1.
Therefore, based on the alternating shading pattern, Option 1 is the correct next figure in the sequence.
Identify the figure that best fits in place of the question mark.

Which of the following figures will complete the figural series given below?

What will be the next figure?

In the following question, select the missing number from the given series.
5, 10, 17, 26, 37, ?, 65
In the following question, select the missing number from the given series.
5, 10, 17, 26, 37, ?, 65