in a flower bed there are 23 rose plant in the first row ,21 in the second ,19 in the third row, and so on. there are 5 rose plant in last row . how many are in flower bed
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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−1)d
⟹5=23+(n−1)×−2
⟹5=23−2n+2⟹20=2n⟹n=10
Hence, there are 10 rows of rose plants.
Step-by-step explanation:
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