two numbers their product is 2 , some geometric means are inserted between them their number is even where the product of these means exceeds the product of the middle ten terms by 224 find the number of means

Question

hero · Answer

Good luck with this

hero · Answer

I'll try to find a solution but for now, it is difficult to understand.

anonymous · Answer

oh ok :(

hero · Answer

I don't even understand the question whatsoever. What do they mean by "find the number of means"?

anonymous · Answer

the number of geometric means inserted :D

hero · Answer

If I'm not mistaken, they already stated that there were ten inserted.

anonymous · Answer

nope the middle ten terms are different from the number of means thats why they said above some geometric means inserted :P

hero · Answer

Yah, I know. I was just hoping that they meant that they were both the same. I guess not.

anonymous · Answer

the difficult part is to multiply all the means , i really dont know how :(

anonymous · Answer

so what do u think @myininaya :D

myininaya · Answer

Ok so is the first part saying ab=2?

anonymous · Answer

yup go on

myininaya · Answer

i'm having trouble translating the part after

anonymous · Answer

so lets say there is n geometric means inserted

anonymous · Answer

so the all number of terms is n+2

hero · Answer

@myininaya , even I understood ab = 2. The part after that is exactly what confuses me

myininaya · Answer

ok @hero I just wanted to make sure that is what it meant since the wording looks a bit weird to me

hero · Answer

Well, at least I'm not being ignored at the moment.

anonymous · Answer

come on @hero we are all here trying to solve the problem :D

hero · Answer

Yeah, I know. Do you think you could re-word it a little better? I think you understand what the problem is trying to say, but you may not know how to set it up. Do you think you could clarify it a bit more?

anonymous · Answer

well it says that that u have so geometric means inserted between a and b for example like that (a...........b) , all the dots reperesent geometric means so its a geometric sequence , and there r 10 middle terms ,it means that if u have 22 apples and ten r in the middle so there is 6 on right side and 6 on left side

anonymous · Answer

hey were  u trying to solve this paper and pencil :P

anonymous · Answer

@myininaya

hero · Answer

Okay, so it's a geometric sequence....(I think)

anonymous · Answer

yup it is

myininaya · Answer

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