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Complete the Skip Counting Series:

1. [tex]$7, 16, 25, 34, 43, \underline{52}, 61, 70$[/tex]
2. [tex]$15, 18, 21, 24, 27, 30, 33, 36$[/tex]
3. [tex]$11, 18, 25, 32, 39, 46, 53, 60$[/tex]
4. [tex]$17, 20, 23, 26, 29, 32, 35, 38$[/tex]
5. [tex]$13, \ldots, \ldots, 46, \ldots, \ldots, \ldots, 90$[/tex]
6. [tex]$\_, 15, 22, \_, \_, \_, 57$[/tex]
7. [tex]$2, \ldots, 12, \ldots, \ldots, 27, \ldots, \ldots$[/tex]
8. [tex]$\_, \_ , 8, \ldots, 12, \ldots, \ldots, 18$[/tex]
9. [tex]$\_ , 14, \ldots, 18, \ldots, 22$[/tex]
10. [tex]$10, \ldots, \ldots, \ldots, 30, \ldots, 40$[/tex]
11. [tex]$\_ , 19, \ldots, 37, 46$[/tex]
12. [tex]$\_, 17, \ldots, 39, \ldots, 72$[/tex]

Note: The provided patterns may have typographical errors that need to be corrected for proper skip counting. Ensure the sequences are checked for logical progression.



Answer :

GinnyAnswer
Let's go through each sequence step-by-step and identify the missing terms.

1. Sequence 1:
Given: [tex]\( 7, 16, 25, 34, 43, \underline{52}, 61, 70 \)[/tex]
The difference between consecutive terms is 9.
- The missing number in the sequence is already given: [tex]\(52\)[/tex].

2. Sequence 2:
Given: [tex]\( 15, 18, 21, 24, 27, 30, 32, 36 \)[/tex]
The difference between terms is generally 3, except for the jump from 30 to 32, which is 2.
- The sequence is complete as given.

3. Sequence 3:
Given: [tex]\( 11, 18, 25, 32, 39, 46, 53, 60 \)[/tex]
The difference between consecutive terms is 7.
- The sequence is complete as given.

4. Sequence 4:
Given: [tex]\( 17, 20, 23, 26, 29, 32, 35, 38 \)[/tex]
The difference between consecutive terms is 3.
- The sequence is complete as given.

5. Sequence 5:
Given: [tex]\( 13, \ldots, \ldots, 46, \ldots, \ldots, \ldots, 90 \)[/tex]
The difference between consecutive terms is 11.
- The sequence starts at 13.
- Adding 11 to each consecutive number: [tex]\( 13, 24, 35, 46, 57, 68, 79, 90 \)[/tex]

6. Sequence 6:
Given: [tex]\( \_, 15, 22, \_, \_, \_, 57 \)[/tex]
The difference between consecutive terms is 7.
- Fill in the missing numbers by adding/subtracting 7:
- The first term: [tex]\(15 - 7 = 8 \)[/tex]
- The fourth term: [tex]\(22 + 7 = 29 \)[/tex]
- The fifth term: [tex]\(29 + 7 = 36 \)[/tex]
- The sixth term: [tex]\(36 + 7 = 43 \)[/tex]
- Complete sequence: [tex]\( 8, 15, 22, 29, 36, 43, 50, 57 \)[/tex]

7. Sequence 7:
Given: [tex]\( 2, \ldots, 12, \ldots, \ldots, 27, \ldots, \ldots \)[/tex]
The difference between consecutive terms is 5.
- Complete the sequence: [tex]\(2, 7, 12, 17, 22, 27, 32, 37 \)[/tex]

8. Sequence 8:
Given: [tex]\(_, _ 8, \ldots, 12, \ldots, \ldots, 18 \)[/tex]
The difference between consecutive terms is 4.
- Complete the sequence: [tex]\( 4, 8, 12, 16, 20, 24, 28, 32 \)[/tex]

9. Sequence 9:
Given: [tex]\(_ 14, \ldots, 18, \ldots, 22\)[/tex]
The difference between consecutive terms is 4.
- Complete the sequence: [tex]\( 14, 18, 22, 26, 30, 34, 38, 42 \)[/tex]

10. Sequence 10:
Given: [tex]\( 10, \ldots, \ldots, \ldots, 30, \ldots, 40 \)[/tex]
The difference between consecutive terms is 5.
- Complete the sequence: [tex]\(10, 15, 20, 25, 30, 35, 40, 45 \)[/tex]

11. Sequence 11:
Given: [tex]\( \_, 19, \ldots, 37, 46 \)[/tex]
The difference between consecutive terms is 9.
- The first term: [tex]\(19 - 9 = 10 \)[/tex]
- Complete the sequence: [tex]\(10, 19, 28, 37, 46, 55, 64 \)[/tex]

12. Sequence 12:
Given: [tex]\( \_, 17, \ldots, 39, \ldots, 72 \)[/tex]
The difference between consecutive terms is 11.
- The first term: [tex]\(17 - 11 = 6 \)[/tex]
- The third term: [tex]\(17 + 11 = 28 \)[/tex]
- The fifth term: [tex]\(39 + 11 = 50 \)[/tex]
- The sixth term: [tex]\(50 + 11 = 61 \)[/tex]
- The seventh term: [tex]\(61 + 11 = 72\)[/tex]
- Complete the sequence: [tex]\(6, 17, 28, 39, 50, 61, 72, 83 \)[/tex]

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