Question

1. Given the following series,

t_n = 10t_n-1+1

where t_n is the current term and t_n-1 is the previous terms.

Write a Matlab function, which will receive t _n-1 will calculate and return t_n.

2. Use a for loop to call the function in (a) and print the first 10 terms computed by t_n for n=1,…,10. Assume that t₀ = 0.

3. Write a Matlab script that loops until the sum of series is 12345 and display the numbers of terms added to get the specified result.

Answer 1

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%a and b%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%a and b

t0=0;
n=10;

for i=1:n
  
tn=(10*t0)+1;
  
t0=tn;
  
fprintf("the value of function=%d\n",t0)
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%c%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%c
sum=0;
b=0;
while sum<12345
c=(10*b)+1;
b=c;
sum=sum+c;
fprintf("the sum of series is =%d\n",sum)

end
%%%%%%%%%%%%%%Results%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%the value of function=1
%the value of function=11
%the value of function=111
%the value of function=1111
%the value of function=11111
%the value of function=111111
%the value of function=1111111
%the value of function=11111111
%the value of function=111111111
%the value of function=1111111111
%the sum of series is =1
%the sum of series is =12
%the sum of series is =123
%the sum of series is =1234
%the sum of series is =12345