How many numbers less than 904 are divisible by 3<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To determine how many numbers less than 904 are divisible by 3, we need to consider numbers in a sequence that are multiples of 3. Let’s break it down step by step:<\/p>\n\n\n\n Thus, the total number of numbers less than 904 that are divisible by 3 is 301<\/strong>.<\/p>\n\n\n\n Multiples of 3 are integers that result from multiplying 3 by other integers. By creating a sequence starting from the smallest multiple of 3 (which is 3 itself) and continuing to the largest multiple of 3 under 904 (which is 903), we form a sequence where each term increases by 3. The formula for the number of terms in this arithmetic sequence gives us a way to count how many such numbers exist between 3 and 903 inclusively. Since each step in the sequence adds 3, the numbers grow in a regular, predictable manner. Therefore, there are 301 numbers less than 904 that are divisible by 3.<\/p>\n","protected":false},"excerpt":{"rendered":" How many numbers less than 904 are divisible by 3 The Correct Answer and Explanation is: To determine how many numbers less than 904 are divisible by 3, we need to consider numbers in a sequence that are multiples of 3. Let’s break it down step by step: Thus, the total number of numbers less […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"","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-154741","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/154741","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=154741"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/154741\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=154741"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=154741"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=154741"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
The smallest positive integer divisible by 3 is 3. The largest integer divisible by 3 that is less than 904 can be found by dividing 904 by 3 and rounding down to the nearest whole number. [
904 \\div 3 = 301.33
]
Since we’re looking for whole numbers, the largest multiple of 3 below 904 is 3 \u00d7 301 = 903.<\/li>\n\n\n\n
The sequence of numbers divisible by 3 below 904 is:
[
3, 6, 9, 12, \\dots, 903
]
This is an arithmetic sequence where the first term (a = 3), the common difference (d = 3), and the last term (l = 903).<\/li>\n\n\n\n
The formula to calculate the number of terms (n) in an arithmetic sequence is:
[
n = \\frac{l – a}{d} + 1
]
Substituting the known values:
[
n = \\frac{903 – 3}{3} + 1
]
[
n = \\frac{900}{3} + 1 = 300 + 1 = 301
]<\/li>\n<\/ol>\n\n\n\nExplanation:<\/h3>\n\n\n\n