Here, we report the magneto-conductivity (up to 14Tesla and down to 5K) analysis of Bi2Te3 single-crystal. A sharp magneto-conductivity (MC) rise (inverted v-type cusp) is observed near H=0 due to the weak antilocalization (WAL) effect, while a linear curve is observed at higher fields. We account for magneto-conductivity (MC) over the entire range of applied magnetic fields of up to 14Tesla and temperatures from 100K to 5K in a modified HLN modelling (addition of quadratic (BH2) through quantum and classical components involvement. The additional term BH2 reveals a gradual change of a (HLN parameter) from -0.421(6) to -0.216(1) as the temperature increases from 5 to 100K. The phase coherence length Lphi obtained from both conventional and modified modelling decreased with increasing temperature but remains more protracted than the mean free path (L) of electrons. It shows the quantum phase coherence effect dominates at high temperature.