# Sequences help

1. Nov 15, 2006

### nickenrite

sequences help!!

If possible could you show working and eqn^s used thanks.

'moe plans to set up his own painting company so he has been looking for a tidy, recent model, second hand van to transport his equipment to jobs. He sees one that that will be perfect and notes that there are two possible payment regimes.

Plan A: pay a deposit of$4950 first month pay$300
each successive month pay $20 more than the previous month. PlanB:pay a deposit$7995
first month pay $61each successive month pay$10 less than the previous month.

Calculate how many months it will take before the total paid into planA would be the same ammount paid into planB.

thanks for your time

2. Nov 15, 2006

### courtrigrad

Plan A: $$P_{1} = 4950+(300 + 20(n-1))$$

Plan B: $$P_{2} = 7995 + (61-10(n-1))$$

$$n = 1$$ corresponds to the first month.

Now set $$P_{1}=P_{2}$$ , and solve for $$n$$

Last edited: Nov 15, 2006
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