Standing Waves: Finding the number of antinodes

[Turion]

Homework Statement

A string with a fixed frequency vibrator at one end forms a standing wave with 4 antinodes when under tension T₁. When the tension is slowly increased, the standing wave disappears until tension T₂ is reached with no resonances occurring between the two tensions. How many antinodes are there in this new standing wave?

Homework Equations

The Attempt at a Solution

There would be 8 antinodes, right? Because as you jump up to the next frequency, the number of antinodes doubles.

Actually, no, it would be 5 antinodes, right?

 

[jldibble]

I believe it would be 5 antinodes. Going from a given resonant tension to the next increases the number of antinodes by one.