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Which grade are you…..? Sequences : Higher The nth term of a sequence is 4n + 3. 2 Alice says that the 10th term is double the 5th term. Is she correct? Show how you decide. Grade D 1 Write down the first three terms of the sequence whose nth term is n 2 - 5 3 Write down the nth term of the following sequences a) 4, 11, 18, 25, ….. b) 6, 9, 12, 15, ….. 4 Look at the sequences of fractions a) Write down the next term b) Write down the nth term for the sequence. Grade C c) 95, 90, 85 , 80, ……. 5 Here are three numbers 36, 42, 49. Give a reason why each number could be the odd one out. 7 Four numbers add up to 80. The numbers form part of a sequence. Each number in the sequence is three times the number before it. Work out the largest number. www.mathsbox.org.uk Grade B 6 Express 120 as a product of primes in index form. Which grade are you…..? Sequences : Higher 1 Write down the first three terms of the sequence whose nth term is n2 - 5 -4, -1, 4 Grade D 2 The nth term of a sequence is 4n + 3. Alice says that the 10th term is double the 5th term. Is she correct? Show how you decide. 5th term = 4 x 5 + 3 = 23 Double 5th term = 46 10th term = 4 x 10 + 3 = 43 No she is not correct 3 Write down the nth term of the following sequences a) 4, 11, 18, 25, ….. 7n - 3 b) 6, 9, 12, 15, ….. 3n + 3 c) 95, 90, 85 , 80, ……. 100 - 5n a) Write down the next term Grade C 4 Look at the sequences of fractions b) Write down the nth term for the sequence. 5 Here are three numbers 36, 42, 49. Give a reason why each number could be the odd one out. 7 Four numbers add up to 80. The numbers form part of a sequence. Each number in the sequence is three times the number before it. Work out the largest number. 54 www.mathsbox.org.uk 25 Marks Grade B 6 Express 120 as a product of primes in index form. 2 x 2 x 2 x 3 x 5 = 23 x 3 x 5