Base case: if <em>n</em> = 1, then
1² - 1 = 0
which is even.
Induction hypothesis: assume the statement is true for <em>n</em> = <em>k</em>, namely that <em>k</em> ² - <em>k</em> is even. This means that <em>k</em> ² - <em>k</em> = 2<em>m</em> for some integer <em>m</em>.
Induction step: show that the assumption implies (<em>k</em> + 1)² - (<em>k</em> + 1) is also even. We have
(<em>k</em> + 1)² - (<em>k</em> + 1) = <em>k</em> ² + 2<em>k</em> + 1 - <em>k</em> - 1
… = (<em>k</em> ² - <em>k</em>) + 2<em>k</em>
… = 2<em>m</em> + 2<em>k</em>
… = 2 (<em>m</em> + <em>k</em>)
which is clearly even. QED
Step-by-step explanation:
ask for what, if you need help you
ANSWER: $36.25
Explanation: First find the rate. Divide $94.25 by 13 (hours) to get the rate. Now you know that Max earns $7.25 each hour he works. Multiply his hourly rate by 5 (hours) to get how much Max earns in five hours.
It would be 5/6 because the denominator Is smaller than 10
can I be brainliest
Answer:
Step-by-step explanation:
Distribute the 5 into the parentheses (multiply them both by 5)
Subtract the 6.5 from -25.
Divide -31.5 by 15.5.
