Adaylily farm sells a portion of their daylilies and allows a portion to grow and divide. the recursive formula an=1.5(an-1)-100 represents the number of daylilies, a, after n years. after the fifth year, the farmers estimate they have 2225 daylilies. how many daylilies were on the farm after the first year?

c. 600

Step-by-step explanation:

600 daylilies were on the farm after the first year.

Step-by-step explanation:

Given : A daylily farm sells a portion of their daylilies and allows a portion to grow and divide. The recursive formula represents the number of daylilies, a, after n years. After the fifth year, the farmers estimate they have 2225 daylilies.

To find : How many daylilies were on the farm after the first year?

Solution :

The recursive formula is  

We have given after the fifth years number of daylilies,

Put n=5 in the formula we get,

Now, put n=4 in the formula,

Now, put n=3 in the formula,

Now, put n=2 in the formula,

Which means after first year is

Therefore, 600 daylilies were on the farm after the first year.

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