The Yert family hires a landscaping company for 30 weeks. There are two companies to choose from. Green Lawns charges $1 for the first time they service your lawn, and the price will multiply by a factor of 1.25 every week thereafter. Green Thumbs charges $200 for the first time they service your lawn, and then charges an additional $20 every week thereafter. At 30 weeks, if the Yert family chooses the company that is cheaper, how much money will they save?

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

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c

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there should be an link icon on the bottom of the text box you get. it looks like a paperclip!