Предмет: Математика
Автор: amunataeva
Вопрос задан 7 лет назад

найдите закономерность,по которой составлена последовательность и дополните ее следующими двумя числами:
1) 5 6 8 11 15 20 ....
2) 2 3 5 8 13 21 ....
3) 45 44 42 39 35 ....
4)1 4 9 16 25 36 49 ....
5)1 8 27 64 125 216 ....
6) 2 9 28 65 126 217 ....

Ответы

Ответ дал: Banabanana

$tt 1) 5 overset{+1}{Longrightarrow}6overset{+2}{Longrightarrow}8overset{+3}{Longrightarrow}11overset{+4}{Longrightarrow}15overset{+5}{Longrightarrow}20overset{+6}{Longrightarrow}26overset{+7}{Longrightarrow}33... \\ 2) 2 overset{+1}{Longrightarrow}3overset{+2}{Longrightarrow}5overset{+3}{Longrightarrow}8overset{+5}{Longrightarrow}13overset{+8}{Longrightarrow}21overset{+13}{Longrightarrow}34overset{+21}{Longrightarrow}55...$

$tt 3) 45 overset{-1}{Longrightarrow}44overset{-2}{Longrightarrow}42overset{-3}{Longrightarrow}39overset{-4}{Longrightarrow}35overset{-5}{Longrightarrow}30overset{-6}{Longrightarrow}24overset{-7}{Longrightarrow}17...\\ 4) 1 overset{+3}{Longrightarrow}4overset{+5}{Longrightarrow}9overset{+7}{Longrightarrow}16overset{+9}{Longrightarrow}25overset{+11}{Longrightarrow}36overset{+13}{Longrightarrow}49overset{+15}{Longrightarrow}64overset{+17}{Longrightarrow}81...$

$tt 5) overset{1^3}{Longrightarrow}1 overset{2^3}{Longrightarrow}8overset{3^3}{Longrightarrow}27overset{4^3}{Longrightarrow}64overset{5^3}{Longrightarrow}125overset{6^3}{Longrightarrow}216overset{7^3}{Longrightarrow}343overset{8^3}{Longrightarrow}512...$

$tt 6) overset{1^3+1}{Longrightarrow}2 overset{2^3+1}{Longrightarrow}9overset{3^3+1}{Longrightarrow}28overset{4^3+1}{Longrightarrow}65overset{5^3+1}{Longrightarrow}126overset{6^3+1}{Longrightarrow}217overset{7^3+1}{Longrightarrow}344overset{8^3+1}{Longrightarrow}513...$