A farm has fruit trees planted in rows. There are 6 fruit trees in the first row, and each additional row has 3
more fruit trees than the row before it. If there are 18 rows of fruit trees, how many fruit trees are there on
the farm?
O 324
O 426
O 456
O 567

Respuesta :

Answer:

567

Step-by-step explanation:

It is going to be arithmetical sequence, a1=6

d=3, n=18

Sn= (2a1+d(n-1))/2*n= (2*6+3*17)/2*18= 63*9=567

The arrangement of fruits trees in the farm is modeled after an arithmetic progression, thus, there are 567 fruit trees in the farm.

What is the number fruit tress in the farm?

The number of fruits trees in the farm represents an arithmetic progression as each row of trees in the farm increases by 3 more than the one after it.

The number of trees is calculated using the arithmetic formula as follows:

[tex]S_n = \frac{2a + d(n - 1)}{2}× n[/tex]

where

  • a = 6, n = 18; d = 3

Substituting the values

[tex]S_n = \frac{2 \times 6 + 3(18 - 1)}{2}× 18 = 567[/tex]

Therefore, there are 567 fruit trees in the farm.

Learn more about arithmetic progression at: https://brainly.com/question/6561461

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