Post History

If you look at the first sequence and divide every term by 14, you get a much simpler sequence. Consider how you could find the ratio from this and try the method on the second sequence.

# Further solution/hint

You can divide by the first term in the second sequence, too.

What remains is essentially a problem of type
$$ r^4 = 81/16, $$
where $r$ is the unknown ratio.

# Finally

From the previous we get $r = 3/2$. Repeated multiplication verifies that this is correct.