A triangular shaped stack of tin cans has 8 cans in the first row and 8 rows in all. In each successive row one can is removed.
What is the explicit rule for this situation, and how many cans will be in the5th
row?
Drag and drop the answers into the boxes to match the situation.
Explicit rule
Number of cans in the 5th
row
a
n
=9−n
a
n
=8−n
a
n
=8−8n
a
n
=9−9n
345
A triangular shaped stack of tin cans has 8 cans in the first row and 8 rows in all.
In each successive row one can is removed.
i.e. in first row there are 8 cans
in second row there are 7 cans
in third row there are 6 cans
The explicit formula which tells about the number of cans in row n is:
"a_n=9-n"
(Since "a_1=" 8 is satisfied only by this formula)
Number of cans in fifth row are:
"a_5=9-5=4"
Hence, number of cans in fifth row equals:
4
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