These are the first five terms of a sequence. 3 8 13 18 23 Find the next term of the sequence.
- (a)(i)These are the first five terms of a sequence. 3 8 13 18 23 Find the next term of the sequence.[1]
- (a)(ii)Find an expression for the nth term of the sequence.[2]
- (b)T is the nth term of a different sequence. These are the first five terms of this sequence. T₁ = 3/4 T₂ = 8/9 T₃ = 13/16 T₄ = 18/25 T₅ = 23/36 Find T25.[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2025). The mark or mark type is shown in brackets.
- [1] 28
- [2] 5n – 2 oe final answer. B1 for answer 5n + k oe or answer jn – 2 oe, j ≠ 0 or for 5n 2 oe seen
- [3] 123/676 oe. B2 for denominator = 676 or for correct answer seen OR M1 for substitution of 25 into their (5n – 2) M1 for (n+1)² oe as denominator
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