Тогда
{T_(k) > T_(k-1)
{T_(k) > T_(k+1)
T_(k-1)=C^(k-1)_(70)*(sqrt(13))^(70-k+1)=
=(70!/(k-1)!*(70-k+1)!)*(sqrt(13))^(70-k+1)
T_(k)=C^(k)_(70)*(sqrt(13))^(70-k)=
=(70!/(k)!*(70-k)!)*(sqrt(13))^(70-k)
T_(k+1)=C^(k+1)_(70)*(sqrt(13))^(70-k-1)=
=(70!/(k+1)!*(70-k-1)!)*(sqrt(13))^(70-k-1)
{(1/k) > sqrt(13)/(70-k+1) ⇒ k < 71/(sqrt(13)+1) ≈ 15,4
{sqrt(13)/(70-k) > 1/(k+1) ⇒ k > (70-sqrt(13))/(sqrt(13)+1) ≈14,4
k=15
T_(15)=C^(15)_(70)*(sqrt(13))^(55)