{"id":719,"date":"2025-12-04T08:48:49","date_gmt":"2025-12-04T07:48:49","guid":{"rendered":"http:\/\/mymatma.pl\/?p=719"},"modified":"2025-12-05T11:38:06","modified_gmt":"2025-12-05T10:38:06","slug":"zadanie-8","status":"publish","type":"post","link":"https:\/\/mymatma.pl\/?p=719","title":{"rendered":"Zadanie 8"},"content":{"rendered":"\n<p><strong>zadanie 12 sierpie\u0144 2011 (1pkt)<\/strong><\/p>\n\n\n\n<p>W ci\u0105gu geometrycznym (a<sub>n<\/sub>) mamy a<sub>3<\/sub>=5 i a<sub>4<\/sub>=15 . Wtedy wyraz a<sub>5 <\/sub>jest r\u00f3wny:<\/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=\"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\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\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\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n<\/div>\n<\/div>\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_69e22aca4482c\">\n        <button class=\"premium-btn-odp\"\n                data-id=\"odp_69e22aca4482c\"\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 D.\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_69e22aca44837\">\n        <button class=\"premium-btn-wyjasnienie\"\n                data-id=\"wyjasnienie_69e22aca44837\"\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<div>\n  <p>Mamy ci\u0105g geometryczny <code>(a\u2099)<\/code> z <code>a\u2083 = 5<\/code> i <code>a\u2084 = 15<\/code>. Niech <code>q<\/code> b\u0119dzie ilorazem ci\u0105gu.<\/p>\n\n  <p>Z definicji ci\u0105gu geometrycznego:<\/p>\n  <ul>\n    <li><code>a\u2084 = a\u2083\u00b7q \u2192 15 = 5\u00b7q<\/code><\/li>\n  <\/ul>\n\n  <p>St\u0105d:<\/p>\n  <p><code>q = 15 \/ 5 = 3<\/code><\/p>\n\n  <p>Teraz wyraz <code>a\u2085 = a\u2084\u00b7q = 15\u00b73 = 45<\/code><\/p>\n\n  <p><strong>Poprawna odpowied\u017a: d) 45<\/strong><\/p>\n<\/div>\n\n        <\/div>\n    <\/div>\n    \n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>zadanie 12 sierpie\u0144 2011 (1pkt) W ci\u0105gu geometrycznym (an) mamy a3=5 i a4=15 . Wtedy wyraz a5 jest r\u00f3wny:<\/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":[31,32,44,81,83],"tags":[29,28,43],"class_list":["post-719","post","type-post","status-publish","format-standard","hentry","category-ciag-geometryczny","category-obliczanie-wyrazow-ciagu-geometrycznego","category-sierpien-2011","category-zadania-maturalne","category-zadania-tematami","tag-ciag-geometryczny","tag-obliczanie-wyrazow-ciagu-geometrycznego","tag-sierpien-2011"],"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 12 sierpie\u0144 2011 (1pkt) W ci\u0105gu geometrycznym (an) mamy a3=5 i a4=15 . Wtedy wyraz a5 jest r\u00f3wny:","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts\/719","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=719"}],"version-history":[{"count":2,"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts\/719\/revisions"}],"predecessor-version":[{"id":722,"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts\/719\/revisions\/722"}],"wp:attachment":[{"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=719"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=719"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=719"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}