{"id":203852,"date":"2025-03-21T02:16:48","date_gmt":"2025-03-21T02:16:48","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=203852"},"modified":"2025-03-21T02:16:51","modified_gmt":"2025-03-21T02:16:51","slug":"which-choice-shows-the-product-of-22-and-49","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/21\/which-choice-shows-the-product-of-22-and-49\/","title":{"rendered":"Which choice shows the product of 22 and 49"},"content":{"rendered":"\n
    \n
  1. Which choice shows the product of 22 and 49?<\/li>\n\n\n\n
  2. Which of the following is not a series?<\/li>\n<\/ol>\n\n\n\n

    a) Arithmetic series
    b) Geometric series
    c) Isometric series
    d) Harmonic series<\/p>\n\n\n\n

      \n
    1. Find sum of series 2+3+5+7?<\/li>\n<\/ol>\n\n\n\n

      a) 5
      b) 10
      c) 17
      d) infinit<\/p>\n\n\n\n

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

        \n
      1. The product of 22 and 49 is: 22\u00d749=107822 \\times 49 = 1078<\/li>\n\n\n\n
      2. The correct answer is:
        c) Isometric series<\/strong>
        An arithmetic series<\/strong> has a constant difference between terms, a geometric series<\/strong> has a constant ratio, and a harmonic series<\/strong> consists of reciprocals of an arithmetic sequence. There is no such thing as an isometric series<\/strong> in mathematics.<\/li>\n\n\n\n
      3. Sum of the series 2 + 3 + 5 + 7:<\/strong>
        The correct answer is c) 17<\/strong> because: 2+3+5+7=172 + 3 + 5 + 7 = 17<\/li>\n<\/ol>\n\n\n\n

        Explanation (300 words):<\/h3>\n\n\n\n

        A series<\/strong> in mathematics refers to the sum of terms in a sequence. In this problem, the sequence consists of prime numbers: 2, 3, 5, and 7<\/strong>. Prime numbers are natural numbers greater than 1 that have only two factors: 1 and themselves<\/strong>.<\/p>\n\n\n\n

        The given series: 2+3+5+72 + 3 + 5 + 7<\/p>\n\n\n\n

        is a finite arithmetic sum<\/strong> of the first four prime numbers. Since there are only four terms, the summation is straightforward: 2+3=52 + 3 = 5 5+5=105 + 5 = 10 10+7=1710 + 7 = 17<\/p>\n\n\n\n

        Thus, the correct answer is 17<\/strong>.<\/p>\n\n\n\n

        Understanding Different Types of Series:<\/h3>\n\n\n\n
          \n
        1. Arithmetic Series:<\/strong> Each term increases by a constant difference. Example: 2, 4, 6, 8, …<\/strong><\/li>\n\n\n\n
        2. Geometric Series:<\/strong> Each term is multiplied by a constant ratio. Example: 2, 4, 8, 16, …<\/strong><\/li>\n\n\n\n
        3. Harmonic Series:<\/strong> Sum of reciprocals of an arithmetic sequence. Example: 1 + 1\/2 + 1\/3 + 1\/4 + …<\/strong><\/li>\n\n\n\n
        4. Prime Number Series:<\/strong> A sequence consisting only of prime numbers.<\/li>\n<\/ol>\n\n\n\n

          Since the given series consists of prime numbers, it does not follow an arithmetic or geometric rule but remains a simple summation of finite terms.<\/p>\n\n\n\n

          Now, I’ll generate an image related to this.<\/p>\n\n\n\n

          Here is the image representing the sum of the prime number series 2+3+5+7=172 + 3 + 5 + 7 = 17 on a chalkboard. Let me know if you need any modifications!<\/p>\n\n\n\n

          \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

          a) Arithmetic seriesb) Geometric seriesc) Isometric seriesd) Harmonic series a) 5b) 10c) 17d) infinit The correct answer and explanation is: Explanation (300 words): A series in mathematics refers to the sum of terms in a sequence. In this problem, the sequence consists of prime numbers: 2, 3, 5, and 7. Prime numbers are natural numbers […]<\/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-203852","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/203852","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=203852"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/203852\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=203852"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=203852"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=203852"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}