Let’s solve the problem step by step.
We are given a geometric sequence:
9, 27, 81, 243, 729, ...
In a geometric sequence, each term is found by multiplying the previous term by a fixed number called the
multiplier (also known as the common ratio).
To find the multiplier, we can divide any term by the term before it.
Let’s try dividing the second term by the first term:
→ 27 ÷ 9 =
3
Now let’s check with the next pair to make sure it’s consistent:
→ 81 ÷ 27 =
3
And again:
→ 243 ÷ 81 =
3
One more time:
→ 729 ÷ 243 =
3
Every time, we get
3. That means the multiplier is definitely
3.
So, to get from one term to the next, you multiply by 3.
Final Answer:
3
Parent Tip: Review the logic above to help your child master the concept of geometric and arithmetic sequence worksheet.
