Which shape appears in the fourth element of the sequence?
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Which shape appears in the fourth element of the sequence?
To solve this problem, the following steps are undertaken:
By examining the pattern:
The sequence of shapes is cyclic and each cycle consists of specific transformations and orientations. On reviewing the choices, it's found that the correct shape appearing at the fourth position aligns with the cycle completion at this stage of the given sequence. The fourth shape matches Option 1 from our choices.
Therefore, the shape appearing in the fourth element of the sequence is correctly depicted by:
12 ☐ 10 ☐ 8 7 6 5 4 3 2 1
Which numbers are missing from the sequence so that the sequence has a term-to-term rule?
Start by examining the first three elements carefully. Look for changes in number of shapes, size relationships, and how they're arranged. Most geometric sequences follow predictable rules!
Pay attention to nested arrangements - how many circles are inside each other, and how many squares surround them. The pattern often involves adding one more layer each time.
The squares create a nested structure with the circles. Each element in the sequence adds more layers, creating a pattern where both circles and squares increase systematically.
Check that your choice follows the same increasing pattern as the first three elements. Count the circles and squares - they should continue the established sequence!
Look closely at the exact number of nested shapes. Small differences in the count of circles or squares can make answers wrong, even if they look similar at first glance.
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