{"id":1318,"date":"2025-12-22T14:26:02","date_gmt":"2025-12-22T13:26:02","guid":{"rendered":"http:\/\/mymatma.pl\/?p=1318"},"modified":"2025-12-22T14:26:04","modified_gmt":"2025-12-22T13:26:04","slug":"zadanie-129","status":"publish","type":"post","link":"https:\/\/mymatma.pl\/?p=1318","title":{"rendered":"Zadanie 129"},"content":{"rendered":"\n<p><strong>zadanie 75. &#8211; Informator CKE (2pkt)<\/strong><\/p>\n\n\n\n<p>Liczby 2, x-3, 8 s\u0105 w podanej kolejno\u015bci pierwszym, drugim i czwartym wyrazem ci\u0105gu arytmetycznego. Oblicz x.<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n    <div class=\"premium-wrapper-odp\" id=\"odp_69e22b981cace\">\n        <button class=\"premium-btn-odp\"\n                data-id=\"odp_69e22b981cace\"\n                style=\"margin-top:10px; padding:12px 20px; background:#28a745; color:#fff; border-radius:25px; border:none; cursor:pointer; font-weight:bold;\">\n            Poka\u017c odpowied\u017a\n        <\/button>\n\n        <div class=\"premium-content-odp\" style=\"display:none; padding:15px; border:1px solid #28a745; margin-top:10px; background:#e6ffe6; border-radius:25px;\">\n            \nPrawid\u0142owa odpowied\u017a to x = 9.\n        <\/div>\n    <\/div>\n    \n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n    <div class=\"premium-wrapper-wyjasnienie\" id=\"wyjasnienie_69e22b981cad9\">\n        <button class=\"premium-btn-wyjasnienie\"\n                data-id=\"wyjasnienie_69e22b981cad9\"\n                style=\"margin-top:10px; padding:12px 20px; background:#28a745; color:#fff; border-radius:25px; border:none; cursor:pointer; font-weight:bold;\">\n            Poka\u017c wyja\u015bnienie\n        <\/button>\n\n        <div class=\"premium-content-wyjasnienie\" style=\"display:none; padding:15px; border:1px solid #28a745; margin-top:10px; background:#e6ffe6; border-radius:25px;\">\n            \n<h3>Wyja\u015bnienie<\/h3>\n\n<p>W zadaniu podano trzy wyrazy ci\u0105gu arytmetycznego:<\/p>\n\n<p style=\"text-align:center;\">\na\u2081 = 2, &nbsp; a\u2082 = x \u2212 3, &nbsp; a\u2084 = 8\n<\/p>\n\n<p>W ci\u0105gu arytmetycznym obowi\u0105zuje zale\u017cno\u015b\u0107:<\/p>\n\n<p style=\"text-align:center;\">\na\u2084 = a\u2081 + 3r\n<\/p>\n\n<p>oraz<\/p>\n\n<p style=\"text-align:center;\">\na\u2082 = a\u2081 + r\n<\/p>\n\n<h4>1. Obliczamy r\u00f3\u017cnic\u0119 r z wyrazu czwartego<\/h4>\n\n<p style=\"text-align:center;\">\n8 = 2 + 3r\n<\/p>\n\n<p style=\"text-align:center;\">\n6 = 3r\n<\/p>\n\n<p style=\"text-align:center;\">\nr = 2\n<\/p>\n\n<h4>2. Korzystamy z wyrazu drugiego<\/h4>\n\n<p style=\"text-align:center;\">\na\u2082 = a\u2081 + r = 2 + 2 = 4\n<\/p>\n\n<p>Ale z tre\u015bci zadania:<\/p>\n\n<p style=\"text-align:center;\">\nx \u2212 3 = 4\n<\/p>\n\n<p>Dodajemy 3 do obu stron:<\/p>\n\n<p style=\"text-align:center; font-size: 1.2em;\">\n<strong>x = 7<\/strong>\n<\/p>\n\n<h3>Odpowied\u017a:<\/h3>\n<p>Liczba <strong>x<\/strong> jest r\u00f3wna <strong>7<\/strong>.<\/p>\n\n        <\/div>\n    <\/div>\n    \n<\/div>\n<\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>zadanie 75. &#8211; Informator CKE (2pkt) Liczby 2, x-3, 8 s\u0105 w podanej kolejno\u015bci pierwszym, drugim i czwartym wyrazem ci\u0105gu arytmetycznego. Oblicz x.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"saved_in_kubio":false,"_uag_custom_page_level_css":"","_themeisle_gutenberg_block_has_review":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1,25,130,198,81,83],"tags":[23,129,197],"class_list":["post-1318","post","type-post","status-publish","format-standard","hentry","category-bez-kategorii","category-ciag-arytmetyczny","category-informator-cke","category-wlasnosci-trzech-kolejnych-wyrazow-ciagu","category-zadania-maturalne","category-zadania-tematami","tag-ciag-arytmetyczny","tag-informator-cke","tag-wlasnosci-trzech-kolejnych-wyrazow-ciagu"],"jetpack_featured_media_url":"","uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false,"kubio-fullhd":false,"woocommerce_thumbnail":false,"woocommerce_single":false,"woocommerce_gallery_thumbnail":false},"uagb_author_info":{"display_name":"adminmymatma","author_link":"https:\/\/mymatma.pl\/?author=1"},"uagb_comment_info":0,"uagb_excerpt":"zadanie 75. &#8211; Informator CKE (2pkt) Liczby 2, x-3, 8 s\u0105 w podanej kolejno\u015bci pierwszym, drugim i czwartym wyrazem ci\u0105gu arytmetycznego. Oblicz x.","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts\/1318","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1318"}],"version-history":[{"count":1,"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts\/1318\/revisions"}],"predecessor-version":[{"id":1320,"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts\/1318\/revisions\/1320"}],"wp:attachment":[{"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1318"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1318"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1318"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}