Question

Please help me someone

Answer 1

See the table below
For n, the answer is 2n+1

Explanation:

The number of trees in each figure represents an arithmetic sequence where the difference between subsequent figures is 2 (caled the common difference)

So the sequence is

Figure(n) Number of Trees

1 3
2 5
3 7
4 9 (7+2)
5 11 (9+2)

n 2n + 1

In general, for any arithmetic sequence we can write an equation for the nth term as
`a_n = a_0 + d(n-1)` where
`a_0` is the first term and d is the common difference

So for this example, we have
`a_0 = 3` and d=2 giving

`a_n = 3 + 2(n-1) = 3 + 2n -2 = 2n + 1`

This is