Answer:
P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Step-by-step explanation:
Let P(n) be the proposition that 2n-1 ≤ n!. for n ≥ 3
Basis: P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Inductive Step: Assume P(k) holds, i.e., 2k - 1 ≤ k! for an arbitrary integer k ≥ 3. To show that P(k + 1) holds:
2(k+1) - 1 = 2k + 2 - 1
≤ 2 + k! (by the inductive hypothesis)
= (k + 1)! Therefore,2n-1 ≤ n! holds, for every integer n ≥ 3.
The correct answer is <span>a. {1 game for $19, off, 30% off, $10 off, 10% off games over $40}.
Hope this helps!!
~Kiwi
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Answer:
Lengths in Ascending order :-
500 in , 50 ft , 5 km , 5500 m , 5 mi
hope it helps!
Original amount = $234
Discount = 15% of $234 = 0.15 x 234 = $35.10
Sale Price = $234 - $35.10 = $198.90
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Answer : Sale Price is $198.90
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950000 is written in standard form
