{"id":207963,"date":"2025-04-25T14:46:21","date_gmt":"2025-04-25T14:46:21","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=207963"},"modified":"2025-04-25T14:46:23","modified_gmt":"2025-04-25T14:46:23","slug":"create-a-python-program-to-print-the-first-n-rows-of-pascals-triangle","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/04\/25\/create-a-python-program-to-print-the-first-n-rows-of-pascals-triangle\/","title":{"rendered":"Create a Python program to print the first n rows of Pascal’s Triangle"},"content":{"rendered":"\n

Create a Python program to print the first n rows of Pascal’s Triangle, a triangular array where each number is the sum of the two numbers directly above it.<\/p>\n\n\n\n

The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n

Python Program to Print the First n<\/code> Rows of Pascal’s Triangle<\/h3>\n\n\n\n
<\/code><\/pre>\n\n\n\n
Explanation:<\/h3>\n\n\n\n
Pascal\u2019s Triangle is a triangular array of numbers where the first and last elements of each row are 1<\/code>, and each other element is the sum of the two numbers directly above it in the previous row. The program to generate Pascal\u2019s Triangle involves a few key steps:<\/p>\n\n\n\n
    \n
  1. Initializing the Triangle<\/strong>: A list named triangle<\/code> is initialized to store the rows of Pascal’s Triangle.<\/li>\n\n\n\n
  2. Row Construction<\/strong>:<\/li>\n<\/ol>\n\n\n\n
      \n
    • We loop through each row (i<\/code>) from 0<\/code> to n-1<\/code>. The number of elements in the i<\/code>-th row is i + 1<\/code> (since the first row has 1 element, the second has 2, etc.).<\/li>\n\n\n\n
    • For each row, we first initialize it with 1<\/code>s. This accounts for the fact that the first and last elements of every row are always 1<\/code>.<\/li>\n<\/ul>\n\n\n\n
        \n
      1. Filling the Middle Values<\/strong>: For any row i<\/code> (where i > 1<\/code>), the values in the middle are calculated by adding the two numbers directly above them in the previous row. These values are located at positions j<\/code> in the row, where 1 <= j <= i - 1<\/code>.<\/li>\n\n\n\n
      2. Appending the Row<\/strong>: After filling in the row, it is appended to the triangle<\/code> list.<\/li>\n\n\n\n
      3. Printing the Triangle<\/strong>: After the triangle is built, we print each row to display the final Pascal’s Triangle.<\/li>\n<\/ol>\n\n\n\n
        Example:<\/h3>\n\n\n\n
        For n = 5<\/code>, the output would be:<\/p>\n\n\n\n
        [1]\n[1, 1]\n[1, 2, 1]\n[1, 3, 3, 1]\n[1, 4, 6, 4, 1]<\/code><\/pre>\n\n\n\n
        In this example:<\/p>\n\n\n\n
          \n
        • The first row contains just a 1<\/code>.<\/li>\n\n\n\n
        • The second row has two 1<\/code>s.<\/li>\n\n\n\n
        • The third row has three elements: 1<\/code>, 2<\/code>, and 1<\/code>, where 2<\/code> is the sum of the two 1<\/code>s from the previous row.<\/li>\n\n\n\n
        • Similarly, each subsequent row builds upon the previous row by summing adjacent numbers.<\/li>\n<\/ul>\n\n\n\n
          This program gives a clear and efficient way to generate and print Pascal\u2019s Triangle for any number of rows, n<\/code>.<\/p>\n","protected":false},"excerpt":{"rendered":"
          Create a Python program to print the first n rows of Pascal’s Triangle, a triangular array where each number is the sum of the two numbers directly above it. The correct answer and explanation is : Python Program to Print the First n Rows of Pascal’s Triangle Explanation: Pascal\u2019s Triangle is a triangular array of […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-207963","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/207963","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=207963"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/207963\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=207963"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=207963"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=207963"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}