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2022 Math Prize for Girls Problems
10
10
Part of
2022 Math Prize for Girls Problems
Problems
(1)
Math Prize 2022 Problem 10
Source:
10/12/2022
An algal cell population is found to have
a
k
a_k
a
k
cells on day
k
k
k
. Each day, the number of cells at least doubles. If
a
0
≥
1
a_0 \ge 1
a
0
≥
1
and
a
3
≤
60
a_3 \le 60
a
3
≤
60
, how many quadruples of integers
(
a
0
,
a
1
,
a
2
,
a
3
)
(a_0, a_1, a_2, a_3)
(
a
0
,
a
1
,
a
2
,
a
3
)
could represent the algal cell population size on the first
4
4
4
days?