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COMEDK2013MathematicsMathematical Induction

The last digit in 7³⁰⁰ is

Options

  1. A7
  2. B9
  3. C1
  4. D3

Correct answer

C. 1

Step-by-step solution

We have, aligned &7¹=7 &7²=49 &7³=343 &7⁴=2401 aligned and so on. Thus, the last digit repeat itself in multiple of 4 . Since, 300 is divisible by 4 , the units digit of 7³⁰⁰ would be 1 .

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