{"id":32224,"date":"2025-06-22T11:56:26","date_gmt":"2025-06-22T11:56:26","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=32224"},"modified":"2025-06-22T11:56:27","modified_gmt":"2025-06-22T11:56:27","slug":"write-a-matlab-code-that-computes-the-following-sum-while-requesting-the-value-of-x-and-n-from-the-user","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/write-a-matlab-code-that-computes-the-following-sum-while-requesting-the-value-of-x-and-n-from-the-user\/","title":{"rendered":"\u00a0Write a Matlab code that computes the following sum while requesting the value of x and n from the user."},"content":{"rendered":"\n
 Write a Matlab code that computes the following sum while requesting the value of x and n from the user.<\/pre>\n\n\n\n
\"\"<\/figure>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n
\u2705 Correct MATLAB Code:<\/h3>\n\n\n\n
matlabCopyEdit% Request user input for x and n\nx = input('Enter a positive integer value for x: ');\nn = input('Enter a positive integer value for n: ');\n\n% Check if x and n are positive integers\nif ~isscalar(x) || ~isscalar(n) || x <= 0 || n <= 0 || floor(x) ~= x || floor(n) ~= n\n    disp('Error: Both x and n must be positive integers.');\nelse\n    y = 0;\n    for k = 1:n\n        y = y + (2 \/ x)^k;\n    end\n    fprintf('The computed value of y is: %.4f\\n', y);\nend\n<\/code><\/pre>\n\n\n\n
\n\n\n\n
\ud83d\udd0d Explanation<\/h3>\n\n\n\n
This MATLAB code calculates a mathematical sum defined as:y=\u2211k=1n(2x)ky = \\sum_{k=1}^{n} \\left(\\frac{2}{x}\\right)^ky=k=1\u2211n\u200b(x2\u200b)k<\/p>\n\n\n\n
The goal is to prompt the user to input two values: x<\/code> and n<\/code>, which must be positive integers. These inputs are taken using the input<\/code> function.<\/p>\n\n\n\n
Before proceeding with the computation, the code performs a validation step. It checks whether x<\/code> and n<\/code> are:<\/p>\n\n\n\n
    \n
  1. Scalars (not vectors or matrices),<\/li>\n\n\n\n
  2. Greater than zero,<\/li>\n\n\n\n
  3. Whole numbers (integers).<\/li>\n<\/ol>\n\n\n\n
    This validation is done using the logical conditions:<\/p>\n\n\n\n
      \n
    • isscalar(x)<\/code> and isscalar(n)<\/code> ensures the inputs are single values,<\/li>\n\n\n\n
    • x > 0<\/code> and n > 0<\/code> ensure positivity,<\/li>\n\n\n\n
    • floor(x) == x<\/code> and floor(n) == n<\/code> ensure integer values.<\/li>\n<\/ul>\n\n\n\n
      If any of these checks fail, the program displays an error message and halts.<\/p>\n\n\n\n
      If the inputs are valid, a for<\/code> loop is used to calculate the sum. The loop runs from k = 1<\/code> to n<\/code>, and in each iteration, it adds the term (2x)k\\left(\\frac{2}{x}\\right)^k(x2\u200b)k to the running total y<\/code>.<\/p>\n\n\n\n
      Finally, the result is displayed using fprintf<\/code>, which allows formatted output. The format %.4f<\/code> is used to show the result with four decimal places for clarity.<\/p>\n\n\n\n
      This implementation ensures user input is verified before mathematical operations begin, preventing invalid calculations and improving robustness.<\/p>\n\n\n\n
      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"
       Write a Matlab code that computes the following sum while requesting the value of x and n from the user. The Correct Answer and Explanation is: \u2705 Correct MATLAB Code: matlabCopyEdit% Request user input for x and n x = input(‘Enter a positive integer value for x: ‘); n = input(‘Enter a positive integer value […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-32224","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/32224","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=32224"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/32224\/revisions"}],"predecessor-version":[{"id":32241,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/32224\/revisions\/32241"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=32224"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=32224"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=32224"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}