Attempted to access t(3); index out of bounds because numel(t)=2.

Error in Project_1c (line 17)
    t(n+1)=t(n)-f(n).*((t(n+1)-t(n))/(f(n+1)-f(n)));

clc;
    clear all;
    close all;

    f=@(t)(sin((pi)*t).*exp(-t));
    t1=linspace(-1,5,100);
    f1=f(t1);
    plot(t1,f1)

    n= 1; %index start
    tol= 100; %convergence tolerance
    t(1)= -1; %intial guess
    t(2)= 0; %intial guess
    Tol=1e-6;
    while tol>Tol
        n=n+1
        t(n+1)=t(n)-f(n).*((t(n+1)-t(n))/(f(n+1)-f(n)));
        f(n+1)=f(t(n+1))
        tol=abs(t(n+1)-t(n))
    end

t(n+1)=t(n)-f(n).*((t(n+1)-t(n))/(f(n+1)-f(n)));

clc;
clear all;
close all;
f=@(t)(sin((pi)*t).*exp(-t));
t1=linspace(-1,5,100);
f1=f(t1);
plot(t1,f1)

n= 1; %index start
tol= 100; %convergence tolerance
t(1)= 0.5; %intial guess
t(2)= 1.5; %intial guess
Tol=1e-6;
while tol>Tol
    n=n+1 ;
    tNext = (t(1)*f(t(2)) - t(2)*f(t(1)))/(f(t(2))-f(t(1)));
    t(1) = t(2);
    t(2) = tNext;
    tol=abs(t(2)-t(1));
   disp(['t_',int2str(n),'=',num2str(t(2)),' / f(t_',int2str(n),')=' num2str(f(t(2)))])
end