By 1829, Döbereiner had found other groups of three elements (hence "triads") whose physical properties were similarly related. He also noted that some quantifiable properties of elements (e.g. atomic weight and density) in a triad followed a trend whereby the value of the middle element in the triad would be exactly or nearly predicted by taking the arithmetic mean of values for that property of the other two elements.

Predicted vs actual atomic mass of the central atom of each triad
Triad name Elements and atomic masses
Element 1
Mass
Element 2
Mean of 1 and 3
Actual mass
Element 3
Mass
Alkali-forming elements Lithium
6.94
Sodium
23.02
22.99
Potassium
39.10
Alkaline-earth-forming elements
Calcium
40.1
Strontium
88.7
87.6
Barium
137.3
Salt-forming elements Chlorine
35.470
Bromine
80.470
78.383
Iodine
126.470
Acid-forming elements Sulfur
32.239
Selenium
80.741
79.263
Tellurium
129.243

From Wikipedia