2 + 2 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8 a. 2^9 b. : Quant Question Archive [LOCKED]
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# 2 + 2 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8 a. 2^9 b.

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Manager
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2 + 2 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8 a. 2^9 b. [#permalink]

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04 May 2006, 14:53
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

2 + 2 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8

a. 2^9

b. 2^10

c. 2^16

d. 2^35

e. 2^37

the long way is obvious - what's the short cut?
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04 May 2006, 17:05
consultinghokie wrote:
2 + 2 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8
a. 2^9
b. 2^10
c. 2^16
d. 2^35
e. 2^37

2 + 2 + 2^2 = 2^3
2 + 2 + 2^2 + 2^3 = 2^4
2 + 2 + 2^2 + 2^3 + 2^4 = 2^5

so the pattern keeps on continue

2 + 2 + 2^2 + ............+ 2^8 = 2^9
2 + 2 + 2^2 + ............+ 2^9= 2^10.
2 + 2^2 + .............. + 2^10 = 2^11
.
.
.
.
2 + 2^2 + .............. + 2^99 = 2^100
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04 May 2006, 20:53
Agree with Professor's approach and it should be 2^9
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07 May 2006, 14:20
Agree with 2^9
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07 May 2006, 14:24
Yep, getting 2^9 also.
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