Leonardo Pisano Bigollo, known commonly as Fibonacci, was born in Pisa around 1170 AD. He is best known for the Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, ... which starts with 1 and 1, and then each subsequent term of the sequence is the sum of the preceding two terms. 1 Can we write a formula for the general term un, of the Fibonacci sequence? 2 Can the Fibonacci sequence be written using a formula which connects successive terms of the sequence? 3 Where do we see the Fibonacci sequence in nature? 4 a Calculate the ratio of consecutive terms of the Fibonacci sequence ..... and so on. Where appropriate, round your answers to 5 decimal places. b What do you notice about the values in a? Research the golden ratio and its connection with the Fibonacci sequence.