Question

A gardener plants 10,200 rose plants in 17 rows such that each row has the same number of plants. How many plants are there in each row?

Answer 1

Answer:

11th

Maths

Sequences and Series

Arithmetic Progression

In flower bed, there are 23...

MATHS

In flower bed, there are 23 rose plants in the first row, twenty-one in the second row, nineteen in the third row and so on. There are five plants in the last row. How many rows are there in the flower bed?

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ANSWER

The number of rose plants in first, second third,..., and last row are respectively.

23,21,19,....,5.

Let the number of rows of rose plants n.

The sequence 23,21,19,....,5 is an A.P. with first term a(=23), common difference d(=−2) and n

th

term (=5).

∴a

n

=a+(n−1)d

⟹5=23+(n−1)×−2

⟹5=23−2n+2⟹20=2n⟹n=10