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If is defined for all nonnegative integers b by b = (b + 1)^b, what
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27 Jan 2024, 05:40
27 Jan 2024, 05:40
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If ▲ is defined for all nonnegative integers b by \(▲b = (b + 1)^b\), what is the value of ▲(▲(▲0)) ?
A. 0
B. 2
C. 3
D. 4
E. 9
2024-01-27_16-38-36.png [ 20.79 KiB | Viewed 2196 times ]
A. 0
B. 2
C. 3
D. 4
E. 9
Attachment:
2024-01-27_16-38-36.png [ 20.79 KiB | Viewed 2196 times ]
Re: If is defined for all nonnegative integers b by b = (b + 1)^b, what
[#permalink]
27 Jan 2024, 05:42
27 Jan 2024, 05:42
Expert Reply
guddo
If ▲ is defined for all nonnegative integers b by \(▲b = (b + 1)^b\), what is the value of ▲(▲(▲0)) ?
A. 0
B. 2
C. 3
D. 4
E. 9
A. 0
B. 2
C. 3
D. 4
E. 9
Attachment:
2024-01-27_16-38-36.png
Since \(▲b = (b + 1)^b\), then:
- \(▲0 = (0 + 1)^0 = 1^0 = 1\);
\(▲(▲0) = ▲1 = (1 + 1)^1 = 2^1 = 2\);
\(▲(▲(▲0)) = ▲2 = (2 + 1)^2 = 3^2 = 9\).
Answer: E.
Re: If is defined for all nonnegative integers b by b = (b + 1)^b, what
[#permalink]
17 Jul 2024, 21:15
17 Jul 2024, 21:15
Bunuel
guddo
If ▲ is defined for all nonnegative integers b by \(▲b = (b + 1)^b\), what is the value of ▲(▲(▲0)) ?
A. 0
B. 2
C. 3
D. 4
E. 9
A. 0
B. 2
C. 3
D. 4
E. 9
Attachment:
2024-01-27_16-38-36.png
Since \(▲b = (b + 1)^b\), then:
- \(▲0 = (0 + 1)^0 = 1^0 = 1\);
\(▲(▲0) = ▲1 = (1 + 1)^1 = 2^1 = 2\);
\(▲(▲(▲0)) = ▲2 = (2 + 1)^2 = 3^2 = 9\).
Answer: E.
I am not sure I understand. What is the significance of the triangle?
