A) Here are the first five terms in a Fibonacci sequence. 1 5 6 11 17
Write down the next two terms in the sequence.
(1)
b) The fourth and fifth terms of a different Fibonacci sequence
are respectively 37 and 60.
Work out the first term in this sequence.
[2]
c) The first and third terms in the following Fibonacci sequence are x and y.
Write down algebraic expressions for the second, fourth and fifth terms.
Х
y
[3]

h

Option (a) is correct.

fully factored form of given expression is

Step-by-step explanation:

Given expression :

We have to write the given expression in factored form and choose a correct option out of given options.

Factorization is the process of writing the an expression in form of factors such that when we multiply we get the same expression.

Consider the given expression

consider first term can be written as  

Similarly ,   can be written as  

Now, consider the given expression  

taking common terms out of the both factors, we have

Thus, option (a) is correct.