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O-LevelMathematicsAlgebra and graphs4024/11 · Oct/Nov 2021 · Q204 Marks

These are the first five terms of a sequence. 4 8 16 32 64

  1. (a)Find the next number in the sequence.[1]
  2. (b)The nth term of the sequence above is 2ⁿ⁺¹ . Write down an expression, in terms of n, for the nth term of these sequences. (i) 1 5 13 29 61[1]
  3. (b)(ii)10 19 32 53 90[2]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.

  1. 20(a) 128 [1]
  2. 20(b)(i) 2ⁿ⁺¹ - 3 final answer [1]
  3. 20(b)(ii) 2ⁿ⁺¹ + 5n + 1 oe final answer [2] B1 for 2ⁿ⁺¹ + 5n + k oe or M1 for 6 11 16 21 [26]

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, Oct/Nov 2021 Paper 1 Variant 1, question 20.

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