Question

In a garden, there are 30 mango trees in the first row, 27 in the second row, 24 in the third row and so on . There are 6 trees in the last row. How many rows are there of mango trees?

Answer 1

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Step-by-step explanation:

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Answer 2

Given,

The number of mango trees in the first row = 30

The number of mango trees in the second row = 27

The number of mango trees in the third row = 24

The number of mango trees in the last row = 6

To Find,

The number of rows of mango trees in the garden.

Solution,

The number of rows of mango trees can be determined as follows:

                     $a_{n} = a_{1} + (n-1)d$

where,

$a_{n} = n^{th} term\\a^{1} = first term\\d = difference\\n= number of terms$

The first term here is 30 and the last term is 6.

The difference is 3.

Thus the last term, $6 = 30+(n-1)(-3)$

⇒3n = 27

⇒n = 9

Henceforth, the number of rows in the given garden is 9.