Harper Hardy
04/25/2023 · High School

Pyramiden nedan består av fyra lager. a) Bestäm antalet kuber som skulle ingå i ett femte lager. b) Bestäm ett allmänt uttryck \( L_{n} \) för antal kuber i \( n \) :te lagret. c) Bestäm ett allmänt uttryck \( P_{n} \) för antal kuber i pyramiden som be- står av \( n \) lager. d) Bestäm antalet kuber som ingår i en pyramid som är tio gånger så hög som den i figuren nedan.

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a) Det femte lagret innehåller 25 kuber. b) Antalet kuber i det \( n \):te lagret är \( L_n = n^2 \). c) Antalet kuber i pyramiden med \( n \) lager är \( P_n = \frac{n(n + 1)(2n + 1)}{6} \). d) En pyramid tio gånger så hög som den i figuren innehåller 385 kuber.

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