Question 5

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waecmaths question: 

If ${{U}_{n}}=n({{n}^{2}}+1)$ evaluate U5U4

Option A: 

18

Option B: 

56

Option C: 

62

Option D: 

80

waecmaths solution: 

$\begin{align}  & {{U}_{n}}=n({{n}^{2}}+1) \\ & {{U}_{5}}=5({{5}^{2}}+1)=130 \\ & {{U}_{4}}=4({{4}^{2}}+1)=68 \\ & {{U}_{5}}-{{U}_{4}}=130-68 \\ & {{U}_{5}}-{{U}_{4}}=62 \\\end{align}$

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