Problem 14 of 34fun-014
The first term of a geometric sequence is , and the common ratio is . What is the 5th term of the sequence?
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Solution walkthrough1:32
- A geometric sequence multiplies by the same number each time. Here every term is times the one before.
- Keep multiplying by : , , , , . Getting to the 5th term takes 4 jumps.
- Four jumps means four factors of : . In general .
- , and .
- Traps: adds instead of multiplying, is , and is the 4th term.