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30 Jun 2007, 07:43
Kudos
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From GMAT PREP
I don't understand what the following equals 2^9? Thanks.
2+2+2^2+2^3+2^4+2^5+2^6+2^7+2^8=
I don't understand what the following equals 2^9? Thanks.
2+2+2^2+2^3+2^4+2^5+2^6+2^7+2^8=
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30 Jun 2007, 08:06
Kudos
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Nice avatar !
2+2+2^2+2^3+2^4+2^5+2^6+2^7+2^8 =
2*(1+1+2+2^2+2^3+2^4+2^5+2^6+2^7) =
2*(2+2+2^2+2^3+2^4+2^5+2^6+2^7) =
2^2*(1+1+2+2^2+2^3+2^4+2^5+2^6) =
and so on =
2^9
2+2+2^2+2^3+2^4+2^5+2^6+2^7+2^8 =
2*(1+1+2+2^2+2^3+2^4+2^5+2^6+2^7) =
2*(2+2+2^2+2^3+2^4+2^5+2^6+2^7) =
2^2*(1+1+2+2^2+2^3+2^4+2^5+2^6) =
and so on =
2^9
30 Jun 2007, 08:30
Kudos
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nfa1rhp
KillerSquirrel will hate me for this
.
But I can't help but see the GP in the sequence
.
2+(2+2^2+2^3+2^4+2^5+2^6+2^7+2^8)
=2 + [2(2^8-1)/(2-1)]
=2 + (2^9-2)
=2^9
