Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.Show that the statement "
is a prime number" is true for
, but is not true for
.
What will be an ideal response?
When , which is a prime number, so the statement is true when
. When
,
, which is not a prime number, so the statement is not true for
.
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Provide an appropriate response.Write 39,000,000 in scientific notation.
A. 3.9 × 10-7 B. 3.9 × 108 C. 3.9 × 10-8 D. 3.9 × 107
Perform the indicated operation without the use of a calculator and express each answer in decimal notation.
A. 29,400,000,000,000 B. 600,000 C. 29,400,000 D. 600,000,000,000
Solve the problem.The following graph
A. has a Hamilton path that starts at A and ends at B. B. has a Hamilton path that starts at G and ends at F. C. has a Hamilton path that starts at D and ends at G. D. has no Hamilton path. E. none of these
Add or subtract as indicated and write the result in standard form.3i + (-3 - i)
A. -3 + 2i B. -3 + 4i C. 3 - 4i D. 3 - 2i