Solution:
The numbers of rose plants in consecutive rows are 43, 41, 39,…, 11.
Difference of rose plants between two consecutive rows = (41 — 43) = (39 – 41) = – 2 [Constant]
So, the given progression is an AP
Here, first term = 43
Common difference = – 2
Last term 11
Let n be the last term, then we have:
= a+(n – l)d
11=43+(n-1)(-2) 11= 45 – 2n
34 = 2n
n =17
Hence, the 17th term is 11 or there are 17 rows in the flower bed.