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LMT
2023 LMT Fall
1
2032 Fall Speed p1
2032 Fall Speed p1
Source:
December 23, 2023
2023
FAlL
speed
alg
Problem Statement
If
a
♢
b
=
∣
a
−
b
∣
⋅
∣
b
−
a
∣
a \diamondsuit b = \vert a - b \vert \cdot \vert b - a \vert
a
♢
b
=
∣
a
−
b
∣
⋅
∣
b
−
a
∣
then find the value of
1
♢
(
2
♢
(
3
♢
(
4
♢
5
)
)
)
1 \diamondsuit (2 \diamondsuit (3 \diamondsuit (4 \diamondsuit 5)))
1♢
(
2♢
(
3♢
(
4♢5
)))
.Proposed by Muztaba Syed Solution.
9
\boxed{9}
9
a
♢
b
=
(
a
−
b
)
2
a\diamondsuit b = (a-b)^2
a
♢
b
=
(
a
−
b
)
2
. This gives us an answer of
9
\boxed{9}
9
.
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