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
Answer:
x=-1 y=1/2
Step-by-step explanation:
do you need the step by step?
Answer:
I believe your answer is d
Step-by-step explanation:
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➷ Use this formula:
Area = ((a + b)/2) x h
a is the top length
b is the bottom length
h is the vertical height
1) Substitute in the values:
((3.8 + 6.2)/2) x 7 = 35ft^2 <== this is the answer
2) Substitute in the values:
((10.3 + 15.1)/2) x 12.6 = 160.02in^2 <== this is the answer
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➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
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