MATLAB: How to update initial value of an array in a for loop

update initial value in a loop

a(1)=0.1, a(2)= 0.11;
for k=2:10^10
a(k+1)= a(k)+a(k-1)+.....
if a(k+1)> 5.0
Up = k ;
end
end.
It takes a lot of memory as iteration number is very high.
How can I update the initial value like a(3)=a(2); a(1)=a(2)
and find new a(3) till my condition is satisfied.

Best Answer

Use 3 separate variables, with a slight fix to the value assignment you suggested in the question. Also, throw a break inside the condition - or better, use a while loop (with the counter).
one = 0.1;
two = 0.11;
for k=2:10^10
three = one + two;
if three > 5.0
break
end
two = three;
one = two;
end