Certainly! Let's take the given information step-by-step:
1. We are given a tree planting project with a specific pattern for the number of trees in each row.
2. The number of trees in each row follows a specific sequence such that:
- The 1st row has 6 trees.
- The 2nd row has 11 trees.
- The 3rd row has 16 trees.
- And so on.
3. We are provided with a sequence function [tex]\( f(n) = 5n + 1 \)[/tex], where [tex]\( n \)[/tex] is the row number, and [tex]\( f(n) \)[/tex] is the number of trees in that row.
4. To determine the number of trees in the 9th row, we substitute [tex]\( n = 9 \)[/tex] into the sequence function.
So let's follow these steps:
1. Substitute [tex]\( n = 9 \)[/tex] into the function [tex]\( f(n) = 5n + 1 \)[/tex]:
[tex]\[
f(9) = 5 \times 9 + 1
\][/tex]
2. Calculate the result inside the function:
[tex]\[
5 \times 9 = 45
\][/tex]
3. Add 1 to the result:
[tex]\[
45 + 1 = 46
\][/tex]
Therefore, according to our sequence function, the 9th row will have [tex]\( 46 \)[/tex] trees.
So, the number of trees in the 9th row of the tree-planting project is [tex]\( 46 \)[/tex].
