Number patterns · SET 20

AI reconstruction: Assign +1 to each red circle outside the yellow disk and −1 to each red circle inside it. In every row, the first two signed totals add to the third; only the total is used. Choose the option that replaces the question mark.

AI reconstruction: Added conditions. Pair sectors directly opposite each other through the center. In every pair, the number on the left half equals twice the number on the right half plus 1. Find the missing number.

AI reconstruction: Moving one cell right or one cell down increases both halves of a domino by one dot. Choose the option that replaces the question mark.

Which option continues the sequence?

Sequence:

AI reconstruction: Added conditions. Subtract the same number at every step. Choose the next term.

AI reconstruction: In each row, add the dot counts in the upper halves separately from those in the lower halves to obtain the third domino. Choose the option that replaces the question mark.

AI reconstruction: Which number does not belong in 1, 3, 5, 7, 9, 11, 12, 13, 15? Enter the number. Added condition: Exactly one extra entry was inserted into the consecutive odd numbers from 1 through 15.

98, 88, 79, 71, ?
Find the next term.
AI reconstruction — added rule family: The consecutive differences form an arithmetic progression.

2, 5, 12, 27, 58, ?
Find the next term.
AI reconstruction — added rule family: Multiply each term by 2, then add successive positive integers beginning with 1.

AI reconstruction: Added conditions. Split the list into consecutive groups of three. In each group, the second number is twice the first plus 1, and the third is twice the second plus 2. Find the missing number.

AI reconstruction: From 1, 3, 5, 7, 11, 13, 15, 17, 19, which number does not belong? Enter the number. Added condition: Choose the only composite number. The number 1 is neither prime nor composite.

AI reconstruction: Added conditions. The first increase is 36. Increase the amount added by 72 at each later step. Choose the next number.

AI reconstruction: Added conditions. At each step, divide the current number by 2, then subtract 2. Choose the next number.

AI reconstruction: Added rule: Interpret each crossed oval as +1 and each oval with only a horizontal middle line as -1. In each large row, add the values in the first two groups. Show the total in the third group as that many plain ovals with no middle lines. Choose the missing picture.

AI reconstruction: Move right or down by adding one pip to the total. Keep the halves as balanced as possible: when equal, add to the bottom; when the bottom exceeds the top by one, add to the top. Choose the option that replaces the question mark.

AI reconstruction: Each horizontal row increases by 5 from left to right. Choose the option giving the two missing numbers for each row, reading rows from top to bottom and blanks from left to right. Each option is one complete eight-number answer. The printed connector “e” means “and”.

1, 1, 2, 6, 24, ?
Find the next term.
AI reconstruction — added rule family: Successive terms are obtained by multiplying by consecutive positive integers, starting with 1.

AI reconstruction: Choose the missing picture. Added condition: Down each column, the number of horizontal lines decreases by one per step while the number of vertical lines increases by one. Count each continuous straight stroke as one line, even when another line crosses it.

3, 2, 9, 4, 81, ?
Find the next term.
AI reconstruction — added rule family: Separate odd and even positions; square the previous term within each subsequence.

AI reconstruction: Choose the missing cell by comparing the number of small circles with the outer shape in each row. Added convention for this puzzle: count each straight side as one boundary piece, and count a circle’s complete curved boundary as one piece. This is a puzzle convention; a circle has no straight sides.