1. 2, 5, 8, __, __, __ What is the common difference? → __ Fill in the missing terms. 2. 100, 95, 90, __ Is the sequence increasing or decreasing? → __ What is the common difference? → __ Fill in the missing terms. 3. In a piggy bank, Anna starts with P50. She adds P10 every week. Sequence: 50, __, __, __, __ What is the common difference? → __ How much will she have on Week 5?

Let's look at each sequence separately.

Sequence: 2, 5, 8, __, __, __

Step 1: Determine the common difference by subtracting the first term from the second term: 5 − 2 = 3

The common difference is 3.

Step 2: Fill in the missing terms by adding the common difference to the last known term repeatedly:

Next term: 8 + 3 = 11
Next term: 11 + 3 = 14
Next term: 14 + 3 = 17


Filled Sequence: 2, 5, 8, 11, 14, 17



Sequence: 100, 95, 90, __

Step 1: Observe the common difference by subtracting the second term from the first term: 95 − 100 = − 5

The common difference is -5.

The sequence is decreasing since each subsequent number is less than the previous one.

Step 2: Fill in the missing term by subtracting 5 from the last known term:

Next term: 90 − 5 = 85


Filled Sequence: 100, 95, 90, 85



Sequence in the piggy bank: Anna starts with P50 and adds P10 every week.

Common Difference: Since Anna adds P10 every week, the common difference is 10.

Sequence: 50, __, __, __, __

Fill in the missing terms by adding P10 to the last known amount:

Week 2: 50 + 10 = 60
Week 3: 60 + 10 = 70
Week 4: 70 + 10 = 80
Week 5: 80 + 10 = 90


Amount on Week 5: Anna will have P90.

Filled Sequence: 50, 60, 70, 80, 90

Answered by DanielJosephParker | 2025-07-21