MATLAB: How to write this expression in matlab

recursion

How do I write this expression in matlab?
    a(n)=sqrt(a(n-1))*(n+1)^(1/(2*k))

Best Answer

Just assign a(1) and put that expression in a for loop from 2 to whatever.
clc;    % Clear the command window.
close all;  % Close all figures (except those of imtool.)
imtool close all;  % Close all imtool figures if you have the Image Processing Toolbox.
clear;  % Erase all existing variables. Or clearvars if you want.
workspace;  % Make sure the workspace panel is showing.
format long g;
format compact;
fontSize = 40;
a(1) = 1;
k = 3; % Whatever.
for n = 2 : 30
  a(n) = sqrt(a(n-1))*(n+1)^(1/(2*k));
end
plot(1:length(a), a, 'b*-', 'LineWidth', 2, 'MarkerSize', 15);
xlabel('n', 'FontSize', fontSize);
ylabel('a', 'FontSize', fontSize);
ylim([0,4]);
grid on;
% Enlarge figure to full screen.
set(gcf, 'Units', 'Normalized', 'OuterPosition', [0 0 1 1]);
% Give a name to the title bar.
set(gcf, 'Name', 'Demo by ImageAnalyst', 'NumberTitle', 'Off')
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