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RWgirl
Can someone tell me where I went wrong with this geometric series question?
Sorry for some of the awkward phrasing or different constants, I'm translating. I don't need this solved, just what I did wrong.
Two girls begin a chain letter. They send a letter to two of their friends each. Those that recieve the letter get two days to send it on. The post office takes to days to deliver each letter.
How many days does it take from the time the chain letter starts until 2 million letters are sent?
I assume it's geometric because the numbers go up exponentially. I'm solving for n. I also know I need the sum formula.
My first thought was to set it up this way:
s(n)= 2000000
k (quotient)=2
a(1)=2
so
20000000=2((2^n-1)/(2-1)
I simplified to 99999=2^n
Change of base gave:
log(99999)/log(2)= 16.61
I then thought to multiply by 4 to get the final answer.
I got 66 days. The answer is 76 days.
I have a feeling I need to alter the quotient instead of multiplying by 4 at the end, but I'm not sure how I should go about doing that.
I know this is simple, and I feel dumb for asking, but I'm doing this on my own, and the books I have aren't the best.
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