Answer:
The sequence diverges.
Step-by-step explanation:
A sequence
converges when
is a real number.
In this question, the sequence given is:

The cosine is always going to be between -1 and 1, so for the convergence of the sequence, we look it as:
. So

Since the limit is not a real number, the sequence diverges.
A 10% booking fee is added to the ticket price (I'm guessing 10% is added for each ticket)
Find 10% of the adult and child ticket:
10% of 15 = 1.5
10% of 10 = 1
find the total price for the 4 adult tickets he buys and 2 child tickets:
(15 +1.5) × 4 = 66
(10 + 1) × 2 = 22
66 + 22 = 88
1.5% will then be added if he lays by credit card :
1.5% of 88 = 1.32
total :
88 + 1.32 = 89.32
He pays a total of £89.32
We know that all black beards cost the same money
And all red beards cost $25
And B represents number of black beards
And R represents number of red beards
We have been given the inequality 20B+25R > 350 to show the target for this month.
The above inequality shows that Merlin needs to make more than 350, hence he made 350 last month
Further, it shows that B has been multiplied by 20, hence the black beard's cost was 20
The last choice is the correct one