Calculate Sequence and Sum

For a(1)=sqrt(2) and a(n+1)=sqrt(2+sqrt(n)), calculate the sequence and sum for n=10.

clc; clear all; close all;

format long;

a=[];

S=[];

a(1)=sqrt(2);

for k=2:11

a(k)=sqrt(2+a(k-1))

end

a=a';

for m=1:k

S(m)=sum(a(1:m));

end