Answer:
Explanation:
The explicit rule for this situation is that each row has one more ball than the previous row. So the number of balls in each row can be represented by the arithmetic sequence:
5, 6, 7, 8, ..., n
where n represents the number of rows.
To find the number of balls in the 16th row, we can use the formula for the nth term of an arithmetic sequence:
aₙ = a₁ + (n - 1)d
In this case, a₁ = 5 (the first term), n = 16 (the 16th row), and d = 1 (the common difference).
Plugging in the values:
a₁₆ = 5 + (16 - 1) * 1
= 5 + 15
= 20
Therefore, there will be 20 balls in the 16th row.