These are the first five terms of a sequence. 4 8 16 32 64
- (a)Find the next number in the sequence.[1]
- (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]
- (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.
- 20(a) 128 [1]
- 20(b)(i) 2ⁿ⁺¹ - 3 final answer [1]
- 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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