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. in the fifth year, the farmers estimate they have 2,225 daylilies. how many daylilies were on the farm in the first year?

279

518

600

800

the answer is c. 600, i took the test

Hence, the number of daylilies in the first year were:

600

Step-by-step explanation:

It is given that:

the recursive formula represents the number of daylilies, a, after n years.

Also we are given that in the fifth year they have 2,225 daylilies.

i.e.

Also,

This means that:

Similarly,

so,

and so, putting in terms of we get:

Now on putting the value of we find the value of

Hence, the number of daylilies in the first year were:

600

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