Question

Consider the Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, … Observe and complete the following table by understanding the number pattern followed. After filling the table discuss the pattern followed in addition and subtraction of the numbers of the sequence.

Steps	Pattern 1	Pattern 2
i)	1 + 3 = 4	5 − 1 = 4
ii)	1 + 3 + 8 = ___________	?
iii)	1 + 3 + 8 + 21 = ____________	?
iv)	?	?

Answer 1

Steps	Pattern 1	Pattern 2
i)	1 + 3 = 4	5 − 1 = 4
ii)	1 + 3 + 8 = 12	13 − 1 = 12
iii)	1 + 3 + 8 + 21 = 33	34 − 1 = 33
iv)	1 + 3 + 8 + 21 + 55 = 88	89 − 1 = 88