{"id":1329,"date":"2025-12-23T13:31:15","date_gmt":"2025-12-23T12:31:15","guid":{"rendered":"http:\/\/mymatma.pl\/?p=1329"},"modified":"2025-12-23T13:50:51","modified_gmt":"2025-12-23T12:50:51","slug":"zadanie-134","status":"publish","type":"post","link":"https:\/\/mymatma.pl\/?p=1329","title":{"rendered":"Zadanie 134"},"content":{"rendered":"\n<p><strong>zadane 14.2 \u2013 czerwiec 2025 (1pkt)<\/strong><\/p>\n\n\n\n<p>Oce\u0144 prawdziwo\u015b\u0107 poni\u017cszych stwierdze\u0144. Wybierz <strong>P<\/strong>, je\u015bli stwierdzenie jest prawdziwe, albo <strong>F<\/strong> \u2013 je\u015bli jest fa\u0142szywe.<\/p>\n\n\n\n<p>Ci\u0105g (a<sub>n<\/sub>) jest arytmetyczny. <strong>P \/ F<\/strong><\/p>\n\n\n\n<p>Wszystkie wyrazy ci\u0105gu (a<sub>n<\/sub>) s\u0105 liczbami parzystymi. <strong>P \/ F<\/strong><\/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_69e23fa80ef88\">\n        <button class=\"premium-btn-odp\"\n                data-id=\"odp_69e23fa80ef88\"\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            \n<p>\n&#8211; Ci\u0105g (a<sub>n<\/sub>) jest arytmetyczny. <strong>P<\/strong><br>\n&#8211; Wszystkie wyrazy ci\u0105gu (a<sub>n<\/sub>) s\u0105 liczbami parzystymi. <strong>F<\/strong>\n<\/p>\n\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_69e23fa80ef9a\">\n        <button class=\"premium-btn-wyjasnienie\"\n                data-id=\"wyjasnienie_69e23fa80ef9a\"\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<p>\nW zadaniu nale\u017ca\u0142o oceni\u0107 dwa stwierdzenia dotycz\u0105ce ci\u0105gu arytmetycznego.\n<\/p>\n\n<p>\n<strong>1. \u201eCi\u0105g (a<sub>n<\/sub>) jest arytmetyczny.\u201d \u2013 P<\/strong><br>\nW tre\u015bci zadania podano, \u017ce mamy do czynienia z ci\u0105giem arytmetycznym. \nOznacza to, \u017ce r\u00f3\u017cnica mi\u0119dzy kolejnymi wyrazami jest sta\u0142a, wi\u0119c stwierdzenie jest prawdziwe.\n<\/p>\n\n<p>\n<strong>2. \u201eWszystkie wyrazy ci\u0105gu (a<sub>n<\/sub>) s\u0105 liczbami parzystymi.\u201d \u2013 F<\/strong><br>\nZ oblicze\u0144 wynika, \u017ce r\u00f3\u017cnica ci\u0105gu wynosi d = \u22122, czyli jest parzysta. \nJednak trzeci wyraz ci\u0105gu ma warto\u015b\u0107 a<sub>3<\/sub> = \u22121, kt\u00f3ra jest liczb\u0105 nieparzyst\u0105. \nSkoro cho\u0107 jeden wyraz jest nieparzysty, to stwierdzenie o parzysto\u015bci wszystkich wyraz\u00f3w jest fa\u0142szywe.\n<\/p>\n\n        <\/div>\n    <\/div>\n    \n<\/div>\n<\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>zadane 14.2 \u2013 czerwiec 2025 (1pkt) Oce\u0144 prawdziwo\u015b\u0107 poni\u017cszych stwierdze\u0144. Wybierz P, je\u015bli stwierdzenie jest prawdziwe, albo F \u2013 je\u015bli jest fa\u0142szywe. Ci\u0105g (an) jest arytmetyczny. P \/ F Wszystkie wyrazy ci\u0105gu (an) s\u0105 liczbami parzystymi. P \/ F<\/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":[25,102,204,81,83],"tags":[23,100,205],"class_list":["post-1329","post","type-post","status-publish","format-standard","hentry","category-ciag-arytmetyczny","category-czerwiec-2025","category-rozne","category-zadania-maturalne","category-zadania-tematami","tag-ciag-arytmetyczny","tag-czerwiec-2025","tag-rozne"],"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":"zadane 14.2 \u2013 czerwiec 2025 (1pkt) Oce\u0144 prawdziwo\u015b\u0107 poni\u017cszych stwierdze\u0144. Wybierz P, je\u015bli stwierdzenie jest prawdziwe, albo F \u2013 je\u015bli jest fa\u0142szywe. Ci\u0105g (an) jest arytmetyczny. P \/ F Wszystkie wyrazy ci\u0105gu (an) s\u0105 liczbami parzystymi. P \/ F","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts\/1329","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=1329"}],"version-history":[{"count":3,"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts\/1329\/revisions"}],"predecessor-version":[{"id":1338,"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts\/1329\/revisions\/1338"}],"wp:attachment":[{"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1329"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1329"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1329"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}