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The nth term of a sequence is n 2 — sequence. 2. Find the value of the twentieth term of the (d) Find the rule, in terms of n, for working out how many vertical matchsticks are in Pattern n. (c) The diagram shows a number machine.
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Question 1: Here are the irst four terms of a number sequence D 9, 15, 21, 27, . . . (a) Write down the next term of the number sequence. (b) Explain how you found your answer to (a) James says that the 20th term of the sequence is 122. (c) Explain why James must be wrong.
Write down an expression, in terms of n, for the nth term of the sequence. (Total for Question 17 is 2 marks) 19 Here are the first five terms of an arithmetic sequence.
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The first four terms of an arithmetic sequence are 21 17 13 9 Find, in terms of n, an expression for the nth term of this sequence. ..... (Total 2 marks) 9. The nth term of a sequence is 2n2 (i) Find the 4th term of the sequence. ..... (ii) Is the number 400 a term of the sequence? ..... Give reasons for your answer.
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(a) Find the nth term of the sequence 31, 28, 25, 22, … (b) Use your nth term formula to find the 50th term in the sequence. (c) Is -40 in the sequence? 14. (a) Find the nth term of the sequence -19, -13, -7, -1, … (b) Use your nth term formula to find the 100th term in the sequence. (c) Is 125 in the sequence? 15.
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Write down two equations relating the first term, a, and the common difference, d, of the series. Find the values of a and d. Find the 40th term of the series. 10 The third and eighth terms of an arithmetic series are 72 and 37 respectively.
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Guidance. Read each question carefully before you begin answering it. Donʼt spend too long on one question. Attempt every question. Check your answers seem right. Always show your workings. Revision for this topic. 1. Here are the first four terms of a number sequence. 814 206. (a) Write down the next term of the number sequence. 3.
