Power of N
2 n × 2 ( n + 1 ) × 2 ( n + 2 ) × 2 ( n + 3 ) = 1 6 3 8 4 ,find the value of n .
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1 solution
@Frankie Fook Its nice to use L A T E X for asking problems. I have edited your problem. You may use this as a reference later.
See this for learning L A T E X
Well,my actual age is 15 and why it is plus?
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Corrected. No age matters in learning! ⌣ ¨
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Anyway,I love this website so much,.learn a lot of impossible questions and sometimes surpass normal people's thinking.Well,but I think that sum and product is different because 16384 can only be obtained by multiplying these numbers. Even if you add up 2^2+2^3+2^4+2^5=60
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@Frankie Fook – Yes I know! I typo-ed it. It was a mistake.
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@Pranjal Jain – lol!Anyway,how can you're that smart actually?
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@Frankie Fook – Thanks to Brilliant.org... =P
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@Pranjal Jain – yeah lol!That's why I will follow you since I still have along way to go hehe :) I need a guider that can usher me through harder questions.
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@Frankie Fook – That's nice! Thanks! There are many more interesting people here like Megh Choksi, Ronak Agrawal, Brian Charlesworth, Trevor Arashiro etc.
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@Pranjal Jain – I want to learn a lot from you and others too!You are one of top people here :) Anyway,I'm going to create another question :)
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@Frankie Fook – See W h o T o F o l l o w in moderator's newsletter. (Yes! I am a moderator.)
Here's first edition link
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@Pranjal Jain – lol!You are the moderator,awesome!
a b × a c = a ( b + c ) ,
2 n × 2 ( n + 1 ) × 2 ( n + 2 ) × 2 ( n + 3 ) = 1 6 3 8 4 2 4 n + 6 = 2 1 4
4 n + 6 = 1 4 ⇒ n = 2