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anonymous
 one year ago
I know I'm just overthinking this and it's literally probably an x=y formula but humor me.
Midas wants to buy all the land near his house. There are 65 lots surrounding his home, and each lot costs $7200. But for every lot purchased, the price doubles. How much money does Midas need to buy all 65 lots?
anonymous
 one year ago
I know I'm just overthinking this and it's literally probably an x=y formula but humor me. Midas wants to buy all the land near his house. There are 65 lots surrounding his home, and each lot costs $7200. But for every lot purchased, the price doubles. How much money does Midas need to buy all 65 lots?

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arindameducationusc
 one year ago
Best ResponseYou've already chosen the best response.2Use sum of GP series here

arindameducationusc
 one year ago
Best ResponseYou've already chosen the best response.2a(R^n1) / R1 here a= 7200 n=65 and r=2

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1it says for every lot purchased, the price doubles you can try without the fancy geometric series by using simple arithmetic first Price per lot = 7200 number of lots 65 normally it would be 65* 7200 but the condition is that the price increases for every additional lot purchased so if we start with the first lot \(L_1 = 7200\) then second lot \(L_2 = 2 \times L_1\) then third \(L_3 = 2 \times L_2 \) we can quickly see that we are doubling the previous price

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1so maybe it would be safe to say that our addition of lot sequence would be \(\large L_1 + L_2 + L_3 ... L_{65}\) we will worry about inserting each of \(L_n \) prices later and focus on how we can write L into condensed form. Have you done any summations in the past?

Kainui
 one year ago
Best ResponseYou've already chosen the best response.1Let's pretend for a second there are only 3 lots. Then the prices for buying will be: \[7200 + 2*7200+ 2*2*7200\] Which simplifies to \[7200(1+2+4)\] So this is where the geometric series comes in, instead of only having 3, we have 65 which will be a geometric series in 2 which is exactly what @arindameducationusc is referring to here.

arindameducationusc
 one year ago
Best ResponseYou've already chosen the best response.2Nice @Kainui & @nincompoop... Good job!
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