{"id":1013,"date":"2025-12-10T10:31:18","date_gmt":"2025-12-10T09:31:18","guid":{"rendered":"http:\/\/mymatma.pl\/?p=1013"},"modified":"2025-12-10T10:31:21","modified_gmt":"2025-12-10T09:31:21","slug":"zadanie-60","status":"publish","type":"post","link":"https:\/\/mymatma.pl\/?p=1013","title":{"rendered":"Zadanie 60"},"content":{"rendered":"\n<p><br><strong>zadanie 34 &#8211; maj 2015 (zadanie otwarte) (5pkt)<\/strong><br>W niesko\u0144czonym ci\u0105gu arytmetycznym (a<sub>n<\/sub>) , okre\u015blonym dla n\u22651 , suma jedenastu pocz\u0105tkowych wyraz\u00f3w tego ci\u0105gu jest r\u00f3wna 187 . \u015arednia arytmetyczna pierwszego, trzeciego i dziewi\u0105tego wyrazu tego ci\u0105gu, jest r\u00f3wna 12 . Wyrazy a<sub>1<\/sub>, a<sub>3<\/sub>, a<sub>k<\/sub> ci\u0105gu (a<sub>n<\/sub>) , w podanej kolejno\u015bci, tworz\u0105 nowy ci\u0105g &#8211; trzywyrazowy ci\u0105g geometryczny (b<sub>n<\/sub>) . Oblicz k . <\/p>\n\n\n\n<p>Przyznaj sobie samodzielnie punkty, zgodnie z proponowan\u0105 punktacj\u0105 (0pkt, 1pkt, 2pkt, 3pkt, 4pkt, 5pkt)<\/p>\n\n\n","protected":false},"excerpt":{"rendered":"<p>zadanie 34 &#8211; maj 2015 (zadanie otwarte) (5pkt)W niesko\u0144czonym ci\u0105gu arytmetycznym (an) , okre\u015blonym dla n\u22651 , suma jedenastu pocz\u0105tkowych wyraz\u00f3w tego ci\u0105gu jest r\u00f3wna 187 . \u015arednia arytmetyczna pierwszego, trzeciego i dziewi\u0105tego wyrazu tego ci\u0105gu, jest r\u00f3wna 12 . Wyrazy a1, a3, ak ci\u0105gu (an) , w podanej kolejno\u015bci, tworz\u0105 nowy ci\u0105g &#8211; trzywyrazowy [&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":[105,31,74,81,83],"tags":[144,29,73],"class_list":["post-1013","post","type-post","status-publish","format-standard","hentry","category-ciag-arytmetyczny-i-geometryczny","category-ciag-geometryczny","category-maj-2015","category-zadania-maturalne","category-zadania-tematami","tag-ciag-arytmetyczny-i-geometryczny","tag-ciag-geometryczny","tag-maj-2015"],"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 34 &#8211; maj 2015 (zadanie otwarte) (5pkt)W niesko\u0144czonym ci\u0105gu arytmetycznym (an) , okre\u015blonym dla n\u22651 , suma jedenastu pocz\u0105tkowych wyraz\u00f3w tego ci\u0105gu jest r\u00f3wna 187 . \u015arednia arytmetyczna pierwszego, trzeciego i dziewi\u0105tego wyrazu tego ci\u0105gu, jest r\u00f3wna 12 . Wyrazy a1, a3, ak ci\u0105gu (an) , w podanej kolejno\u015bci, tworz\u0105 nowy ci\u0105g &#8211; trzywyrazowy&hellip;","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts\/1013","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=1013"}],"version-history":[{"count":1,"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts\/1013\/revisions"}],"predecessor-version":[{"id":1014,"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts\/1013\/revisions\/1014"}],"wp:attachment":[{"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1013"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1013"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1013"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}