Voltage gain = it is equal the ratio of small change in output voltage at collector to that of change in input voltage
AV=OutputvoltageInputvoltage
= ΔVCEΔVEB=(ΔIC)RoutΔIBRin
AV=βAC×RoutRin
Where βAC is AC current gain
Relation between input and output signals of n-p-n transistor amplifier, when positive half cycle is fed into input circuit, forward bais of emitter base circuit decrease, i.e collector current decrease , output voltage.
Vo=VCE−ICRL
Decrease in collector current cause increase of output voltage.