Express 159 into general form of an odd number

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2𝑛 + 1, where 𝑛 = 159

2𝑛 − 1, where 𝑛 = 80

2𝑛 − 1, where 𝑛 = 159

2𝑛 + 1, where 𝑛 = 80

answer is C.

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Detailed Solution

2𝑛 − 1 = 2(159) − 1 = 318 − 1 = 317
2𝑛 + 1 = 2(159) + 1 = 318 + 1 = 319
2𝑛 − 1 = 2(80) − 1 = 160 − 1 = 159
2𝑛 + 1 = 2(80) + 1 = 160 + 1 = 161

∴ 159 = 2(79) + 1
Hence it is in the form of 2𝑛 + 1 , when 𝑛 = 79
General form an odd number =2𝑛 − 1 , when 𝑛 = 80

So, 159 = 160 − 1 = 2(80) − 1.

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