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
.
Mathematics
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Write the number in expanded form.4718
A. 4 thousands + 7 hundreds + 1 ten + 8 ones B. 4718 thousands C. 8 thousands + 1 hundred + 7 ten + 4 ones D. 4 hundreds + 1 ten + 7 ones
Mathematics
Calculate in decimal form. 24 ÷ 2
A. 9.69 B. 9.6 C. 9.4 D. 10.3
Mathematics
Write the statement in symbolic form.The set of rational numbers is not a subset of the whole numbers.
A. R ? W B. Q ? W C. Q ? W D. Q ? W
Mathematics
Use a half-angle formula to find the exact value of the expression.tan 165°
A. - + 2
B. - - 2
C. - 2
D. + 2
Mathematics