2025 Paradigm Sec 3 Mock EOY Q6

2025 Paradigm Sec 3 Mock EOY Q6

Secondary 3

3 marks

[Exponential]

Explain why \(7^{n+1}-4(7^n)-\dfrac17(7^n)\) is an even number for all positive integer values of \(n\).[3]

Solution:

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Answer:\(2(10\cdot7^{n-1})\), twice an integer.

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