Question

Question 7 (10 points) Consider the following three claims: (I) $(n + k)^m = (n^m)$, where $k$ and $m$ are constants. (II) $2^{n + 1} = O(2^n)$. (III) $2^{2n + 1} = O(2^n)$. Which of these claims are correct?

          Question 7 (10 points)
Consider the following three claims:
(I) $(n + k)^m = (n^m)$, where $k$ and $m$ are constants.
(II) $2^{n + 1} = O(2^n)$.
(III) $2^{2n + 1} = O(2^n)$.
Which of these claims are correct?

Added by Bradley S.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Muhammad Jan

Step 1

It depends on the values of k, m, and n. Without more information, we cannot determine if this claim is true or false. Claim II: 2^(n+1) = 0*2^n This claim is false. Any non-zero number raised to the power of 0 is equal to 1, not 0. Show more…

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Question 7 (10 points) Consider the following three claims: (1 + k)^m = n^m, where k and m are constants II 2^(n+1) = 0*2^n III 2^(2n+1) = 0*2^n Which of these claims are correct? I and III O I and II O I and III O I, II, and III