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categoryالرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
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NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
Let P(n) be the statement that 13 + 2 + 33 +
for the positive integer n.
2
n(n+1)
=
Complete the inductive step, identifying where you use the inductive hypothesis.
(You must provide an answer before moving to the next part.)
Multiple Choice
O
Replacing the quantity in brackets on the left-hand side of part (c) by what it equals by virtue of the inductive hypothesis, we have
(k+1+2)
= +
(2+1)
=
as desired.
O
Replacing the quantity in brackets on the left-hand side of part (c) by what it equals by virtue of the inductive hypothesis, we have
(1)+(x+1)=(x+1)=
+1x+2)
as desired.
Replacing the quantity in brackets on the left-hand side of part (c) by what it equals by virtue of the inductive hypothesis, we have
(+1)+(k+1)=(+1()=() as desired.
Replacing the quantity in brackets on the left-hand side of part (c) by what it equals by virtue of the inductive hypothesis, we have
(411)+(k+1)=(k + 1 (A)
as desired
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