The sum, ${{S}_{n}}$, of the first $n$ terms of the sequence ${{u}_{1}}$,${{u}_{2}}$,\({{u}_

Question

The sum, ${{S}_{n}}$, of the first $n$ terms of the sequence ${{u}_{1}}$,${{u}_{2}}$,${{u}_{3}}$ is given by ${{S}_{n}}={{n}^{2}}+4n$. Find ${{u}_{n}}$ in terms of $n$.[2] Hence show that the sequence is an arithmetic progression.[2]

Accepted Answer

(i) $u_n=2n+3$ (ii) The sequence is an arithmetic progression with common difference $2$

2023 MI PRU1 P1 Q1

2023 MI PRU1 P1 Q1

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