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(221)n + (221)n + 1 where n is a natural number, is not divisible by?

(221)n + (221)n + 1 where n is a natural number, is not divisible by? Correct Answer 11

Given:

The given expression is (221)n + (221)n + 1

Concept Used:

If the number is Divisible by the given number then it should be the multiple of that number

Calculation:

By using the exponential identity the given expression can be written as

∴ (221) n + (221) n + 1 = (221) n + (221) n × 221

Now, by taking (221) n common we get

∴ (221) n × (221 + 1) = (221) n × 222

Now, if the value of n is 1

∴ (221) 1 × 222 = 13 × 17 × 2 × 111

So, the given expression is divisible by 17, 13 and 2

Hence, option (4) is correct

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