To solve the problem of determining the next number in each sequence, we need to identify the pattern in each row. Let's analyze each sequence step by step.
Column 1:
1.
52, 61, 70, ?
- The difference between consecutive numbers is \(61 - 52 = 9\) and \(70 - 61 = 9\).
- Pattern: Add 9.
- Next number: \(70 + 9 = 79\).
2.
27, 29, 31, ?
- The difference between consecutive numbers is \(29 - 27 = 2\) and \(31 - 29 = 2\).
- Pattern: Add 2.
- Next number: \(31 + 2 = 33\).
3.
64, 56, 48, ?
- The difference between consecutive numbers is \(56 - 64 = -8\) and \(48 - 56 = -8\).
- Pattern: Subtract 8.
- Next number: \(48 - 8 = 40\).
4.
32, 42, 52, ?
- The difference between consecutive numbers is \(42 - 32 = 10\) and \(52 - 42 = 10\).
- Pattern: Add 10.
- Next number: \(52 + 10 = 62\).
5.
37, 41, 45, ?
- The difference between consecutive numbers is \(41 - 37 = 4\) and \(45 - 41 = 4\).
- Pattern: Add 4.
- Next number: \(45 + 4 = 49\).
6.
37, 31, 25, ?
- The difference between consecutive numbers is \(31 - 37 = -6\) and \(25 - 31 = -6\).
- Pattern: Subtract 6.
- Next number: \(25 - 6 = 19\).
7.
66, 67, 68, ?
- The difference between consecutive numbers is \(67 - 66 = 1\) and \(68 - 67 = 1\).
- Pattern: Add 1.
- Next number: \(68 + 1 = 69\).
8.
42, 45, 48, ?
- The difference between consecutive numbers is \(45 - 42 = 3\) and \(48 - 45 = 3\).
- Pattern: Add 3.
- Next number: \(48 + 3 = 51\).
Column 2:
1.
32, 40, 48, ?
- The difference between consecutive numbers is \(40 - 32 = 8\) and \(48 - 40 = 8\).
- Pattern: Add 8.
- Next number: \(48 + 8 = 56\).
2.
9, 7, 5, ?
- The difference between consecutive numbers is \(7 - 9 = -2\) and \(5 - 7 = -2\).
- Pattern: Subtract 2.
- Next number: \(5 - 2 = 3\).
3.
79, 83, 87, ?
- The difference between consecutive numbers is \(83 - 79 = 4\) and \(87 - 83 = 4\).
- Pattern: Add 4.
- Next number: \(87 + 4 = 91\).
4.
28, 19, 10, ?
- The difference between consecutive numbers is \(19 - 28 = -9\) and \(10 - 19 = -9\).
- Pattern: Subtract 9.
- Next number: \(10 - 9 = 1\).
5.
48, 53, 58, ?
- The difference between consecutive numbers is \(53 - 48 = 5\) and \(58 - 53 = 5\).
- Pattern: Add 5.
- Next number: \(58 + 5 = 63\).
6.
6, 16, 26, ?
- The difference between consecutive numbers is \(16 - 6 = 10\) and \(26 - 16 = 10\).
- Pattern: Add 10.
- Next number: \(26 + 10 = 36\).
7.
73, 65, 57, ?
- The difference between consecutive numbers is \(65 - 73 = -8\) and \(57 - 65 = -8\).
- Pattern: Subtract 8.
- Next number: \(57 - 8 = 49\).
8.
21, 19, 17, ?
- The difference between consecutive numbers is \(19 - 21 = -2\) and \(17 - 19 = -2\).
- Pattern: Subtract 2.
- Next number: \(17 - 2 = 15\).
Final Answer:
\[
\boxed{
\begin{array}{cc}
79 & 56 \\
33 & 3 \\
40 & 91 \\
62 & 1 \\
49 & 63 \\
19 & 36 \\
69 & 49 \\
51 & 15 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of number sequence worksheets.
