To find the second term of the sequence, we need to work backward from the fourth term. The problem states that each term is found by adding 5 to the previous term and then multiplying by 3.
Let's break it down step-by-step:
Step 1: Find the 3rd term.
We know the 4th term is 222.
The rule to get the 4th term was: $(\text{3rd term} + 5) \times 3 = 222$.
To reverse this, we do the opposite operations in reverse order:
1. Divide by 3: $222 / 3 = 74$.
2. Subtract 5: $74 - 5 = 69$.
So, the
3rd term is 69.
Step 2: Find the 2nd term.
Now we use the 3rd term (69) to find the 2nd term.
The rule to get the 3rd term was: $(\text{2nd term} + 5) \times 3 = 69$.
Again, we reverse the operations:
1. Divide by 3: $69 / 3 = 23$.
2. Subtract 5: $23 - 5 = 18$.
So, the
2nd term is 18.
Verification:
Let's check if starting with 18 gives us the correct result.
- Start with 2nd term: 18
- Add 5: $18 + 5 = 23$
- Multiply by 3: $23 \times 3 = 69$ (This is the 3rd term)
- Add 5: $69 + 5 = 74$
- Multiply by 3: $74 \times 3 = 222$ (This is the 4th term)
The calculation is correct.
Final Answer:
18
Parent Tip: Review the logic above to help your child master the concept of arithmetic and geometric sequences word problems worksheet.
