(12,2)
(12,3)
(6,10)
2) Reema being a plant lover decides to open a nursery and she bought few plants with pots.she wants to place pots in such a way that number of pots in first row is 3,second row is 5 and third row is 7 and so on. a) If Reema wants to place 120 plants in total then the total numbers of rows formed in this arrangement
Answers
Given : Reema wants to place pots in such a way that number of pots in first row is 3, in second row is 5 and in third row is 7 and so on.
Reema wants to place 120 pots in total
To Find : total number of rows formed in this arrangement
How many pots are placed in last row?
difference in number of pots placed in 8th row and 3rd row
Solution:
AP
3 , 5 , 7 , ..........
a = 3
d = 2
rows = n
=> (n/2) (2*3 + (n-1)2) = 120
=> n(n+ 2) = 120
=> n = 10
10 Rows
Last row is 10th
= 3 + (10 - 1)2
= 3 + 18
= 21
difference in number of pots placed in 8th row and 3rd row
8th row = 3 + 7(2)
3rd row = 3 + 2(2)
Difference = 5(2)
= 10
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