The first four terms of a sequence are $1, 5, 9$ and $13$. Find an expression, in terms of $n$

Question

The first four terms of a sequence are $1, 5, 9$ and $13$. Find an expression, in terms of $n$, for the $n$th term of the sequence. [1] Find an expression, in terms of $n$, for the $(n+1)$ th term of the sequence. [1] Explain why the difference between the squares of two consecutive terms is always a multiple of $8$. [2]

Accepted Answer

(a) $4n-3$ (b) $4n+1$ (c) $8(4n-1)$

2025 CHS PRELIMS P1 Q16

2025 CHS PRELIMS P1 Q16

Solution:

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