How to solve
Each term multiplies by the same ratio r, so the nth term applies r a total of n − 1 times.
Steps
- Find r by dividing consecutive terms.
- Raise r to the (n − 1) power.
- Multiply by the first term.
Example
Sequence 2, 6, 18, …; find the 5th term.
- r = 3.
- a₅ = 2 · 3⁴ = 162.
Answer: 162
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