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A person’s height is 5 ft 2 in. What is the approximate length from their belly button to the floor rounded to the nearest inch?
A person’s height is 6 ft 3 in. What is the approximate length from their belly button to the floor rounded to the nearest inch?
A person’s length from their belly button to the floor is 3 ft 11 in. What is the person’s approximate height rounded to the nearest inch?
A person’s length from their belly button to the floor is 58 in. What is the person’s approximate height rounded to the nearest inch?
The spikes on a pineapple mirror the Fibonacci sequence. If a row on a pineapple contains five spikes, approximately how many spikes would be found on the next larger row of spikes?
The leaves on a plant mirror the Fibonacci sequence. If a set of leaves on the plant contains 5 leaves, how many leaves would be found on the previous smaller set of leaves?
The spines on a head of lettuce mirror the Fibonacci sequence. If a head of lettuce contains 13 spines, approximately how many spines would be found on the next inside layer?
The seeds on a sunflower mirror the Fibonacci sequence. If a circular layer on the sunflower contains 55 seeds, approximately how many seeds would be found on the next larger circular layer?
The segments on a palm frond mirror the Fibonacci sequence. If a palm frond contains 89 segments, approximately how many segments would be found on the next larger palm frond?
The 19th term of the Fibonacci sequence is 4,181 and the 20th term is 6,765. What is the 21st term of the sequence?
The 23rd term of the Fibonacci sequence is 28,657 and the 24th term is 46,368. What is the 22nd term of the sequence?
The 18th term of the Fibonacci sequence is 2,584 and the 20th term is 6,765. What is the 19th term of the sequence?
The 25th term of the Fibonacci sequence is 75,025 and the 20th term is 6,765. What is the 24th term of the sequence?
The 10th Fibonacci number is 55 and the 11th is 89. Show that the ratio of the 11th and 10th Fibonacci numbers is approximately \(\mathit{ϕ}\). Round your answer to the nearest thousandth.
The 23rd Fibonacci number is 28,657 and the 24th is 46,368. Show that the ratio of the 24th and 23rd Fibonacci numbers is approximately \(\mathit{ϕ}\). Round your answer to the nearest ten-thousandth.
The 22nd Fibonacci number is 17,711 and the 21st is 10,946. Show that the ratio of the 22nd and 21st Fibonacci numbers is approximately \(\mathit{ϕ}\). Round your answer to the nearest ten-thousandth.
The 16th term of the Fibonacci sequence is 987. Use the approximate value of \(\mathit{ϕ}\) of 1.618 to estimate the 15th term. Round your answer to the nearest whole number.
The 26th term of the Fibonacci sequence is 121,393. Use the approximate value of \(\mathit{ϕ}\) of 1.618 to estimate the 25th term. Round your answer to the nearest whole number.
A frame has dimensions of 20 in by 24 in. Calculate the ratio of the sides rounded to the nearest tenth and determine if the size approximates a golden rectangle.
A fence has dimensions of 75 in by 45 in. Calculate the ratio of the sides rounded to the nearest tenth and determine if the size approximates a golden rectangle.
A frame has a length of 50 in. Calculate the width rounded to the nearest inch if the frame is to be a golden rectangle.
13.1.0: Exercises is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.
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