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a2 = 2²/(2+1) = 4/3
a3 = 3²/(3+1) = 9/4
Wykazać, że ciąg : a2, a3, 243/64 jest ciągiem geometrycznym.
a3/a2 = (9/4): (4/3) = (9/4)*(3/4) = 27/16
(243/64) : (9/4) = (243/64)*(4/9) = 27/16
Zatem jest to ciąg geometryczny.