1. The problem asks to identify the next image in a sequence based on the pattern of black and white squares in given images I, II, III, and IV. 2. Images I and II are vertical rectangles split into three squares stacked vertically, with alternating black and white squares. 3. Images III and IV are 2x2 square grids with specific black and white arrangements. 4. Observing the pattern: - I and II show vertical stacks with black and white squares alternating positions. - III and IV show 2x2 grids where black and white squares shift positions, increasing the number of black squares. 5. The sequence seems to progress from vertical 3-square stacks to 2x2 grids, with black squares increasing or shifting. 6. The next logical step is to continue the 2x2 grid pattern with a new arrangement of black and white squares. 7. Option 1 shows a 2x2 grid with top-left and top-right black, bottom-left and bottom-right white. 8. Option 2 shows a 2x2 grid with top-left and top-right white, bottom-left and bottom-right black. 9. Option 3 shows a 3x3 checkerboard pattern, which is a different grid size and pattern. 10. Since the sequence moves from 3 vertical squares to 2x2 grids, the next image should be a 2x2 grid, not 3x3. 11. Comparing options 1 and 2, option 1 continues the pattern of increasing black squares in the top row, matching the progression from III to IV. 12. Therefore, the answer is Option 1. Final answer: Option 1