Mathematics > A-Level Question Paper > Functions and Sequences Difficulty: Hard Question Paper 1 | Download for quality grades | (All)
Functions and Sequences Difficulty: Hard Question Paper 1 | Download for quality grades |
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Question 4Head to savemyexams.co.uk for more awesome resourcesJacob is making some patterns out of squares. The first 3 patterns in the sequence are shown in Figure 2. Figure 2 (a) Find an expressio... n, in terms ofn, for the number of squares required to make patternn. (2 marks) Jacob uses a total of 948 squares in constructing the firstkpatterns.(b) Show that. (2 marks)(Total 4 marks)7 Question 5Head to savemyexams.co.uk for more awesome resourcesAt the beginning of each month Kath places £100 into a bank account to save for a family holiday. Eachsubsequent month she increases her payments by 5%. Assuming the bank account does not pay interest,find(a)the amount of money in the account after 9 months.(3 marks)Monthnis the first month in which there is more than £6000 in the account.(b) Show that (4 marks)8 Head to savemyexams.co.uk for more awesome resources Maggie begins saving at the same time as Kath. She initially places £50 into the same account and plansto increase her payments by a constant amount each month.(c) Given that she would like to reach a total of £6000 in 29 months, by how much should Maggieincrease her payments each month? [Show More]
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