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2021 Fall AMC 12B Problems/Problem 18
This sequence tends to a limit; call it <math>L</math>. What is the least value of <math>k</math> su <math>\textbf{(A)}\: 10\qquad\textbf{(B)}\: 87\qquad\textbf{(C)}\: 123\qquad\textbf{(D)}\: 3

5 KB (733 words) - 10:36, 5 November 2022
2021 Fall AMC 12B Problems/Problem 1
<math>\textbf{(A)}\: 10{,}000\qquad\textbf{(B)} \: 10{,}010\qquad\textbf{(C)} \: 10{,}110\qq We have <cmath>1234 + 2341 + 3412 + 4123 = 1111 \left( 1 + 2 + 3 + 4 \right) = \boxed{\textbf{(E)} \: 11{,}110}.</cmath>

2 KB (292 words) - 01:48, 30 January 2024
2022 AMC 10B Problems/Problem 6
<math>\textbf{(A) } 0 \qquad \textbf{(B) }1 \qquad \textbf{(C) }2 \qquad \textbf{(D) }3 \qqu Therefore, there are <math>\boxed{\textbf{(A) } 0}</math> prime numbers in this sequence.

3 KB (361 words) - 12:18, 20 March 2024
2024 AIME II Problems/Problem 7
...0(b-1) \equiv 10(c-1) \equiv d-1 \pmod{7}</math>. We can casework on <math>a</math> backwards, finding the maximum value. Applying casework on <math>a</math>, we can eventually obtain a working value of <math>\overline{abcd} = 5694 \implies \boxed{699}</math>.

5 KB (798 words) - 21:13, 31 May 2024

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