Fill in the missing numbers in the sequences using the caterpillar-themed math worksheet.

I will solve this number sequence worksheet by analyzing each caterpillar's sequence to find the pattern and fill in the missing numbers.

I'll go through each problem one by one, starting with the first one.

Problem a)

The sequence is: 0, 3, 6, 9, 12, __, __

Looking at the pattern:
- 0 + 3 = 3
- 3 + 3 = 6
- 6 + 3 = 9
- 9 + 3 = 12

The pattern is adding 3 each time. So the next two numbers should be:
- 12 + 3 = 15
- 15 + 3 = 18

Answer for a): 15, 18

Problem b)

The sequence is: 24, 26, __, __, 32, 34

Looking at the pattern:
- 24 to 26 is +2
- The last two numbers are 32, 34 (also +2)

So the pattern is adding 2 each time. The missing numbers are:
- 26 + 2 = 28
- 28 + 2 = 30

Answer for b): 28, 30

Problem c)

The sequence is: 15, 13, 11, 9, 7, __, __

Looking at the pattern:
- 15 - 2 = 13
- 13 - 2 = 11
- 11 - 2 = 9
- 9 - 2 = 7

The pattern is subtracting 2 each time. So the next two numbers should be:
- 7 - 2 = 5
- 5 - 2 = 3

Answer for c): 5, 3

Problem d)

The sequence is: 45, 55, 65, 75, __, __

Looking at the pattern:
- 45 + 10 = 55
- 55 + 10 = 65
- 65 + 10 = 75

The pattern is adding 10 each time. So the next two numbers should be:
- 75 + 10 = 85
- 85 + 10 = 95

Answer for d): 85, 95

Problem e)

The sequence is: __, 50, 48, 46, __, 42

Looking at the pattern:
- 50 - 2 = 48
- 48 - 2 = 46
- 46 - 2 = 44 (missing number)
- 44 - 2 = 42

The pattern is subtracting 2 each time. So the missing numbers are:
- Before 50: 50 + 2 = 52
- Between 46 and 42: 46 - 2 = 44

Answer for e): 52, 44

Problem f)

The sequence is: 35, __, 45, __, 55, 60

Looking at the pattern:
- From 35 to 45 is +10 (with one number in between)
- From 45 to 55 is +10 (with one number in between)
- From 55 to 60 is +5

This seems inconsistent. Let me re-examine.

Actually, looking more carefully:
- 35 to 45 is +10 over 2 steps, so +5 per step
- 45 to 55 is +10 over 2 steps, so +5 per step
- 55 to 60 is +5 over 1 step

The pattern is adding 5 each time. So the missing numbers are:
- 35 + 5 = 40
- 45 + 5 = 50

Answer for f): 40, 50

Problem g)

The sequence is: 65, 68, 71, __, 77, __

Looking at the pattern:
- 65 + 3 = 68
- 68 + 3 = 71
- 71 + 3 = 74 (missing number)
- 74 + 3 = 77
- 77 + 3 = 80 (missing number)

The pattern is adding 3 each time. So the missing numbers are:
- 71 + 3 = 74
- 77 + 3 = 80

Answer for g): 74, 80

Problem h)

The sequence is: 73, 70, __, __, 61, 58

Looking at the pattern:
- 73 - 3 = 70
- 70 - 3 = 67 (missing number)
- 67 - 3 = 64 (missing number)
- 64 - 3 = 61
- 61 - 3 = 58

The pattern is subtracting 3 each time. So the missing numbers are:
- 70 - 3 = 67
- 67 - 3 = 64

Answer for h): 67, 64

Problem i)

The sequence is: 89, 79, 69, __, __, __

Looking at the pattern:
- 89 - 10 = 79
- 79 - 10 = 69

The pattern is subtracting 10 each time. So the next three numbers should be:
- 69 - 10 = 59
- 59 - 10 = 49
- 49 - 10 = 39

Answer for i): 59, 49, 39

Problem j)

The sequence is: 75, __, __, __, 55, 50

Looking at the pattern:
- From 55 to 50 is -5
- The pattern appears to be subtracting 5 each time.

So working backwards from 55:
- 55 + 5 = 60
- 60 + 5 = 65
- 65 + 5 = 70

Let me verify: 75, 70, 65, 60, 55, 50
- 75 - 5 = 70
- 70 - 5 = 65
- 65 - 5 = 60
- 60 - 5 = 55
- 55 - 5 = 50

Yes, the pattern is subtracting 5 each time.

Answer for j): 70, 65, 60

## Final Answers:

a) 15, 18
b) 28, 30
c) 5, 3
d) 85, 95
e) 52, 44
f) 40, 50
g) 74, 80
h) 67, 64
i) 59, 49, 39
j) 70, 65, 60