How to use it
- Divide consecutive nonzero terms to find r.
- Use a_n=a_1 r^(n−1).
- Check by repeated multiplication.
See it in action
3,6,12,... has r=2, so a_6=3×2⁵=96.
How to verify it
Terms double: 3,6,12,24,48,96.
A geometric sequence changes by a constant ratio.
3,6,12,... has r=2, so a_6=3×2⁵=96.
Terms double: 3,6,12,24,48,96.