{"id":980,"date":"2025-12-10T08:48:09","date_gmt":"2025-12-10T07:48:09","guid":{"rendered":"http:\/\/mymatma.pl\/?p=980"},"modified":"2025-12-10T08:55:59","modified_gmt":"2025-12-10T07:55:59","slug":"zadanie-50","status":"publish","type":"post","link":"https:\/\/mymatma.pl\/?p=980","title":{"rendered":"Zadanie 50"},"content":{"rendered":"\n<p><br><strong>zadanie 14 \u2013 grudzie\u0144 2024 ( 1 pkt)<\/strong><\/p>\n\n\n\n<p>Ci\u0105g (a<sub>n<\/sub>) jest okre\u015blony wzorem a<sub>n<\/sub>=3\u22c5(\u22121)<sup>n<\/sup>+10 dla ka\u017cdej liczby naturalnej n\u22651 .<\/p>\n\n\n\n<p>Oce\u0144 prawdziwo\u015b\u0107 poni\u017cszych stwierdze\u0144. Wybierz P, je\u015bli stwierdzenie jest prawdziwe, albo F \u2013 je\u015bli jest fa\u0142szywe.<\/p>\n\n\n\n<p>&#8211; Ci\u0105g (a<sub>n<\/sub>) jest geometryczny. P \/ F<\/p>\n\n\n\n<p>&#8211; Suma o\u015bmiu pocz\u0105tkowych kolejnych wyraz\u00f3w ci\u0105gu (a<sub>n<\/sub>) jest r\u00f3wna 80 . P \/ F<\/p>\n\n\n","protected":false},"excerpt":{"rendered":"<p>zadanie 14 \u2013 grudzie\u0144 2024 ( 1 pkt) Ci\u0105g (an) jest okre\u015blony wzorem an=3\u22c5(\u22121)n+10 dla ka\u017cdej liczby naturalnej n\u22651 . Oce\u0144 prawdziwo\u015b\u0107 poni\u017cszych stwierdze\u0144. Wybierz P, je\u015bli stwierdzenie jest prawdziwe, albo F \u2013 je\u015bli jest fa\u0142szywe. &#8211; Ci\u0105g (an) jest geometryczny. P \/ F &#8211; Suma o\u015bmiu pocz\u0105tkowych kolejnych wyraz\u00f3w ci\u0105gu (an) jest r\u00f3wna 80 [&hellip;]<\/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":[31,33,132,81,83],"tags":[29,30,131],"class_list":["post-980","post","type-post","status-publish","format-standard","hentry","category-ciag-geometryczny","category-grudzien-2024","category-suma-poczatkowych-wyrazow-ciagu","category-zadania-maturalne","category-zadania-tematami","tag-ciag-geometryczny","tag-grudzien-2024","tag-suma-poczatkowych-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 14 \u2013 grudzie\u0144 2024 ( 1 pkt) Ci\u0105g (an) jest okre\u015blony wzorem an=3\u22c5(\u22121)n+10 dla ka\u017cdej liczby naturalnej n\u22651 . Oce\u0144 prawdziwo\u015b\u0107 poni\u017cszych stwierdze\u0144. Wybierz P, je\u015bli stwierdzenie jest prawdziwe, albo F \u2013 je\u015bli jest fa\u0142szywe. &#8211; Ci\u0105g (an) jest geometryczny. P \/ F &#8211; Suma o\u015bmiu pocz\u0105tkowych kolejnych wyraz\u00f3w ci\u0105gu (an) jest r\u00f3wna 80&hellip;","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts\/980","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=980"}],"version-history":[{"count":1,"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts\/980\/revisions"}],"predecessor-version":[{"id":981,"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts\/980\/revisions\/981"}],"wp:attachment":[{"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=980"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=980"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=980"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}