{"id":117880,"date":"2020-01-29T18:24:49","date_gmt":"2020-01-29T17:24:49","guid":{"rendered":"https:\/\/www.superprof.es\/diccionario\/aritmetica\/producto-progresiones.html"},"modified":"2026-10-01T22:47:29","modified_gmt":"2026-10-01T20:47:29","slug":"producto-progresiones","status":"publish","type":"post","link":"https:\/\/www.superprof.es\/diccionario\/matematicas\/aritmetica\/producto-progresiones.html","title":{"rendered":"Producto de  t\u00e9rminos de una progresi\u00f3n gem\u00e9trica"},"content":{"rendered":"<section id=\"sec\" style=\"\">\r\n          \n\n<h3 class=\"r wp-block-heading\">Producto de dos t\u00e9rminos equidistantes<\/h3>\n\n\r\n\t\t\t\t\t\t\t\n\n<p class=\"wp-block-paragraph\">Sean a<sub>i<\/sub> y a<sub>j<\/sub> dos t\u00e9rminos equidistantes de los extremos, se cumple que el producto de  t\u00e9rminos equidistantes  es igual al producto de los extremos.<\/p>\n\n\r\n\t\t\t\t\t\t\t\n\n<p class=\"actividades_2_v_ir wp-block-paragraph\"><strong>a<sub>i<\/sub> . a<sub>j<\/sub> = a<sub>1<\/sub> . a<sub>n<\/sub><\/strong><\/p>\n\n\r\n\t\t\t\t\t\t\t\n\n<p class=\"actividades_2_g_iv wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/producto-de--t&eacute;rminos-de-una-progresi&oacute;n-gem&eacute;trica-1.gif\" alt=\"Explicaciones y ejemplos de producto de  t&eacute;rminos de una progresi&oacute;n gem&eacute;trica - 1\"  ><\/p>\n\n\r\n\t\t\t\t\t\t\t\n\n<p class=\"actividades_2_g_iv wp-block-paragraph\"><span class=\"sol\">a<sub>3<\/sub> \u00b7 a<sub>n-2<\/sub><\/span> = <span class=\"esmeralda\">a<sub>2<\/sub> \u00b7 a<sub>n-1<\/sub><\/span> = ... = <span class=\"sol\">a<sub>1<\/sub> \u00b7 a<sub>n<\/sub><\/span><\/p>\n\n\r\n\t\t\t\t\t\t\t\n\n<p class=\"actividades_2_r_ir wp-block-paragraph\">3, 6. 12, 24, 48, ... <\/p>\n\n\r\n\t\t\t\t\t\t\t\n\n<p class=\"actividades_2_g_iv wp-block-paragraph\">48 \u00b7 3 = 6 \u00b7 24 = 12 \u00b7 12<\/p>\n\n\r\n\t\t\t\t\t\t\t\n\n<p class=\"actividades_2_r_ir wp-block-paragraph\">144 =  144 =144 <\/p>\n\n\r\n\t\t\t\t\t\t\t\n\n<h3 class=\"r wp-block-heading\">Producto de n t\u00e9rminos equidistantes<\/h3>\n\n\r\n\t\t\t\t\t\t\t\n\n<p class=\"actividades_2_v_ir wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/producto-de--t&eacute;rminos-de-una-progresi&oacute;n-gem&eacute;trica-2.gif\" alt=\"Explicaciones y ejemplos de producto de  t&eacute;rminos de una progresi&oacute;n gem&eacute;trica - 2\"  ><\/p>\n\n\r\n\t\t\t\t\t\t\t\n\n<p class=\"wp-block-paragraph\">Calcular el producto de los primeros 5 t\u00e9rminos de la progresi\u00f3n: 3, 6, 12, 24, 48, ...<\/p>\n\n\r\n\t\t\t\t\t\t\t\n\n<p class=\"actividades_2_v_ir wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/producto-de--t&eacute;rminos-de-una-progresi&oacute;n-gem&eacute;trica-3.gif\" alt=\"Explicaciones y ejemplos de producto de  t&eacute;rminos de una progresi&oacute;n gem&eacute;trica - 3\"  ><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/section><\/p>\n\n\n","protected":false},"excerpt":{"rendered":"<p>Producto de dos t\u00e9rminos equidistantes Sean ai y aj dos t\u00e9rminos equidistantes de los extremos, se cumple que el producto de t\u00e9rminos equidistantes es igual al producto de los extremos. ai . aj = a1 . an a3 \u00b7 an-2 = a2 \u00b7 an-1 = &#8230; = a1 \u00b7 an 3, 6. 12, 24, 48, [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"categories":[377],"tags":[363],"class_list":["post-117880","post","type-post","status-publish","format-standard","hentry","category-aritmetica","tag-p"],"acf":[],"author_meta":{"display_name":"Andra","author_link":"https:\/\/www.superprof.es\/diccionario\/author\/andra"},"featured_img":null,"coauthors":[],"tax_additional":{"categories":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/aritmetica\" class=\"advgb-post-tax-term\">Aritm\u00e9tica<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">Aritm\u00e9tica<\/span>"]},"tags":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/aritmetica\" class=\"advgb-post-tax-term\">p<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">p<\/span>"]}},"comment_count":"0","relative_dates":{"created":"Publicado 7 a\u00f1os hace","modified":"Actualizado 4 d\u00edas hace"},"absolute_dates":{"created":"Publicado el 29 enero 2020","modified":"Actualizado el 1 octubre 2026"},"absolute_dates_time":{"created":"Publicado el 29 enero 2020 18 h 24 min","modified":"Actualizado el 1 octubre 2026 22 h 47 min"},"featured_img_caption":"","series_order":"","_links":{"self":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/117880","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/comments?post=117880"}],"version-history":[{"count":3,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/117880\/revisions"}],"predecessor-version":[{"id":138173,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/117880\/revisions\/138173"}],"wp:attachment":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/media?parent=117880"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/categories?post=117880"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/tags?post=117880"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}